Browse by Fellow
Number of items: 256. Hazra, Tamaghna ; Chandrasekar, V. K. ; Gladwin Pradeep, R. ; Lakshmanan, M. (2012) Exact solutions of coupled Lienard-type nonlinear systems using factorization technique Journal of Mathematical Physics, 53 (2). 023511 _1-023511 _13. ISSN 0022-2488 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2012) A systematic method of finding linearizing transformations for nonlinear ordinary differential equations. I. Scalar case Journal of Nonlinear Mathematical Physics . ISSN 1402-9251 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2012) A systematic method of finding linearizing transformations for nonlinear ordinary differential equations. II. Extension to coupled ODEs Journal of Nonlinear Mathematical Physics . ISSN 1402-9251 Lakshmanan, M. (2011) The fascinating world of the Landau-Lifshitz-Gilbert equation: an overview Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, 369 (1939). pp. 1280-1300. ISSN 1364-503X Senthilkumar, D. V. ; Suresh, R. ; Sheeba, Jane H. ; Lakshmanan, M. ; Kurths, J. (2011) Delay-enhanced coherent chaotic oscillations in networks with large disorders Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 84 (6). 066206_1-066206_15. ISSN 1539-3755 Srinivasan, K. ; Raja Mohamed, I. ; Murali, K. ; Lakshmanan, M. ; Sinha, Sudeshna (2011) Design of delayed chaotic circuit with threshold controller International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 21 (3). pp. 725-735. ISSN 0218-1274 Srinivasan, K. ; Raja Mohamed, I. ; Murali, K. ; Lakshmanan, M. ; Sinha, Sudeshna (2011) Design of time delayed chaotic circuit with threshold controller International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 21 (3). pp. 725-735. ISSN 0218-1274 Rajendran, S. ; Lakshmanan, M. ; Muruganandam, P. (2011) Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions Journal of Mathematical Physics, 52 (2). 023515_1-023515_16. ISSN 0022-2488 Gladwin Pradeep, R. ; Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2011) Nonlocal symmetries of a class of scalar and coupled nonlinear ordinary differential equations of any order Journal of Physics A: Mathematical and General, 44 (44). p. 445201. ISSN 0305-4470 Ishaq Ahamed, A. ; Srinivasan, K. ; Murali, K. ; Lakshmanan, M. (2011) Observation of chaotic beats in a driven memristive Chua's circuit International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 21 (3). pp. 737-757. ISSN 0218-1274 Srinivasan, K. ; Senthil kumar, D. V. ; Murali, K. ; Lakshmanan, M. ; Kurths, J. (2011) Synchronization transition in coupled time-delay electronic circuits with a threshthreshold non-linearity Chaos, 21 (2). 023119_1-023119_11. ISSN 1054-1500 Sheeba, Jane H. ; Chandrasekar, V. K. ; Lakshmanan, M. (2011) A general coupled-nonlinear-oscillator model for event-related (de)synchronization Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 84 (3). 036210_1-036210_8. ISSN 1539-3755 Suresh, R. ; Senthilkumar, D. V. ; Lakshmanan, M. ; Kurths, J. (2010) Global phase synchronization in an array of time-delay systems Physical Review E, 82 (1). 016215_1-016215_10. ISSN 1063-651X Sheeba, Jane H. ; Chandrasekar, V. K. ; Lakshmanan, M. (2010) Chimera and globally clustered chimera: impact of time delay Physical Review E, 81 (4). 046203_1-046203_10. ISSN 1063-651X Rajendran, S. ; Muruganandam, P. ; Lakshmanan, M. (2010) Bright and dark solitons in a quasi-1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters Physica D: Nonlinear Phenomena, 239 (7). pp. 366-386. ISSN 0167-2789 Lakshmanan, M. ; Senthilkumar, D. V. (2010) Bifurcation and chaos in time-delayed piecewise linear dynamical system Springer Series in Synergetics . pp. 31-54. ISSN 0172-7389 Kanna, T. ; Vijayajayanthi, M. ; Lakshmanan, M. (2010) Coherently coupled bright optical solitons and their collisions Journal of Physics A: Mathematical and General, 43 (43). p. 434018. ISSN 0305-4470 Senthilkumar, D. V. ; Srinivasan, K. ; Murali, K. ; Lakshmanan, M. ; Kurths, J. (2010) Experimental confirmation of chaotic phase synchronization in coupled time-delayed electronic circuits Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 82 (6). 065201_1-065201_4. ISSN 1539-3755 Chandrasekar, V. K. ; Sheeba, Jane H. ; Lakshmanan, M. (2010) Mass synchronization: occurrence and its control with possible applications to brain dynamics Chaos, 20 (4). 045106_1-045106_8. ISSN 1054-1500 Muniraja, Gopal ; Lakshmanan, M. (2010) Motion of space curves in three dimensional Minkowski space R31, SO(2,1) spin equation and defocusing nonlinear Schrödinger equation International Journal of Geometric Methods in Modern Physics, 7 (6). pp. 1043-1049. ISSN 0219-8878 Gladwin Pradeep, R. ; Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2010) On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka-Volterra system Journal of Mathematical Physics, 51 (3). 033519. ISSN 0022-2488 Chandrasekar, V. K. ; Durga Devi, A. ; Lakshmanan, M. (2010) Recursive generation of isochronous Hamiltonian systems Journal of Nonlinear Mathematical Physics, 17 (3). pp. 251-256. ISSN 1402-9251 Senthilkumar, D. V. ; Muruganandam, P. ; Lakshmanan, M. ; Kurths, J. (2010) Scaling and synchronization in a ring of diffusively coupled nonlinear oscillators Physical Review E, 81 (6). 066219_1-066219_11. ISSN 1063-651X Gladwin Pradeep, R. ; Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2010) A nonlocal connection between certain linear and nonlinear ordinary differential equations: extension to coupled equations Journal of Mathematical Physics, 51 (10). 103513_1-103513_18. ISSN 0022-2488 Murugesh, S. ; Lakshmanan, M. (2009) Spin-transfer torque induced reversal in magnetic domains Chaos, Solitons & Fractals, 41 (5). pp. 2773-2781. ISSN 0960-0779 Sheeba, Jane H. ; Chandrasekar, V. K. ; Lakshmanan, M. (2009) Event-related desynchronization in diffusively coupled oscillator models Physical Review Letters, 103 (7). 074101_1-074101_4. ISSN 0031-9007 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2009) On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering Sciences, 465 (2108). pp. 2369-2389. ISSN 0962-8444 Rajendran, S. ; Muruganandam, P. ; Lakshmanan, M. (2009) Interaction of dark-bright solitons in two-component Bose-Einstein condensates Journal of Physics B: Atomic, Molecular and Optical Physics, 42 (14). 145307_1-145307_5. ISSN 0953-4075 Senthilkumar, D. V. ; Kurths, J. ; Lakshmanan, M. (2009) Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory Physical Review E, 79 (6). 066208_1-066208_4. ISSN 1063-651X Kanna, T. ; Vijayajayanthi, M. ; Sakkaravarthi, K. ; Lakshmanan, M. (2009) Higher dimensional bright solitons and their collisions in a multicomponent long wave-short wave system Journal of Physics A: Mathematical and Theoretical, 42 (11). 115103_1-115103_20. ISSN 1751-8113 Radha, R. ; Senthil Kumar, C. ; Lakshmanan, M. ; Gilson, C. R. (2009) The collision of multimode dromions and a firewall in the two-component long-wave-short-wave resonance interaction equation Journal of Physics A: Mathematical and Theoretical, 42 (10). 102002_1-102002_11. ISSN 1751-8121 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2009) On the complete integrability and linearization of nonlinear ordinary differential equations. III. Coupled first-order equations Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering Sciences, 465 (2102). pp. 585-608. ISSN 0962-8444 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2009) On the complete integrability and linearization of nonlinear ordinary differential equations. IV. Coupled second-order equations Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering Sciences, 465 (2102). pp. 609-629. ISSN 0962-8444 Senthil Kumar, C. ; Radha, R. ; Lakshmanan, M. (2009) Trilinearization and localized coherent structures and periodic solutions for the (2+ 1) dimensional K-dV and NNV equations Chaos, Solitons & Fractals, 39 (2). pp. 942-955. ISSN 0960-0779 Murugesh, S. ; Lakshmanan, M. (2009) Bifurcation and chaos in spin-valve pillars in a periodic applied magnetic field Chaos, 19 (4). 043111_1-043111_7. ISSN 1054-1500 Lakshmanan, M. (2009) Bifurcations and chaos in certain piecewise linear differential equations Dynamics of Continuous Discrete and Impulsive Systems: Series A - Mathematical Analysis, 16 . pp. 891-911. ISSN 1201-3390 Gladwin Pradeep, R. ; Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2009) Dynamics of a completely integrable N-coupled Lienard-type nonlinear oscillator Journal of Physics A: Mathematical and General, 42 (13). p. 135206. ISSN 0305-4470 Srinivasan, K. ; Senthilkumar, D. V. ; Suresh, R. ; Thamilmaran, K. ; Lakshmanan, M. (2009) Experimental realization of strange nonchaotic attractors in a nonlinear series LCR circuit with nonsinusoidal force International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 19 (12). pp. 4131-4163. ISSN 0218-1274 Sheeba, Jane H. ; Chandrasekar, V. K. ; Lakshmanan, M. (2009) Globally clustered chimera states in delay-coupled populations Physical Review E, 79 (5). 055203_1-055203_4. ISSN 1063-651X Senthilkumar, D. V. ; Kurths, J. ; Lakshmanan, M. (2009) Inverse synchronizations in coupled time-delay systems with inhibitory coupling Chaos, 19 (2). 023107_1-023107_9. ISSN 1054-1500 Vijayajayanthi, M. ; Kanna, T. ; Lakshmanan, M. (2009) Multisoliton solutions and energy sharing collisions in coupled nonlinear Schrodinger equations with focusing, defocusing and mixed type nonlinearities European Physical Journal - Special Topics, 173 (1). pp. 57-80. ISSN 1951-6355 Gladwin Pradeep, R. ; Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2009) Nonstandard conserved Hamiltonian structures in dissipative/damped systems: nonlinear generalizations of damped harmonic oscillator Journal of Mathematical Physics, 50 (5). 052901_1-052901_15. ISSN 0022-2488 Kanna, T. ; Sakkaravarthi, K. ; Senthil Kumar, C. ; Lakshmanan, M. ; Wadati, M. (2009) Painlevé singularity structure analysis of three component Gross-Pitaevskii type equations Journal of Mathematical Physics, 50 (11). p. 113520. ISSN 0022-2488 Pandey, S. N. ; Bindu, P. S. ; Senthilvelan, M. ; Lakshmanan, M. (2009) A group theoretical identification of integrable cases of the Lienard-type equation x···+f(x) x···+g(x) = 0. I. Equations having nonmaximal number of Lie point symmetries Journal of Mathematical Physics, 50 (8). 082702_1-082702_19. ISSN 0022-2488 Pandey, S. N. ; Bindu, P. S. ; Senthilvelan, M. ; Lakshmanan, M. (2009) A group theoretical identification of integrable equations in the Lienard-type equation x···+f(x) x···+g(x) = 0. II. Equations having maximal Lie point symmetries Journal of Mathematical Physics, 50 (10). 102701_1-102701_25. ISSN 0022-2488 Senthilkumar, D. V. ; Srinivasan, K. ; Thamilmaran, K. ; Lakshmanan, M. (2008) Bubbling route to strange nonchaotic attractor in a nonlinear series LCR circuit with a nonsinusoidal force Physical Review E, 78 (6). 066211_1-066211_10. ISSN 1063-651X Lakshmanan, M. ; Saxena, Avadh (2008) Dynamic and static excitations of a classical discrete anisotropic Heisenberg ferromagnetic spin chain Physica D: Nonlinear Phenomena, 237 (7). pp. 885-897. ISSN 0167-2789 Palaniyandi, P. ; Muruganandam, P. ; Lakshmanan, M. (2008) Coexistence of synchronized and desynchronized patterns in coupled chaotic dynamical systems Chaos, Solitons & Fractals, 36 (4). pp. 991-1018. ISSN 0960-0779 Vijayajayanthi, M. ; Kanna, T. ; Lakshmanan, M. (2008) Bright-dark solitons and their collisions in mixed N-coupled nonlinear Schrodinger equations Physical Review A, 77 (1). 013820_1-013820_18. ISSN 1050-2947 Senthilkumar, D. V. ; Lakshmanan, M. ; Kurths, J. (2008) Phase synchronization in unidirectionally coupled Ikeda time-delay systems The European Physical Journal - Special Topics, 164 (1). pp. 35-44. ISSN 1951-6355 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2008) Reply to 'Comment on "On the general solution for the modified Emden type equation x··+ αxx·+β x3=0 "' Journal of Physics A: Mathematical and Theoretical, 41 (6). No pp. given. ISSN 1751-8113 Senthilkumar, D. V. ; Lakshmanan, M. ; Kurths, J. (2008) Transition from phase to generalized synchronization in time-delay systems Chaos, 18 (2). 023118_1-023118_12. ISSN 1054-1500 Senthilkumar, D. V. ; Lakshmanan, M. (2007) Intermittency transition to generalized synchronization in coupled time-delay systems Physical Review E, 76 (6). 066210_1-066210_13. ISSN 1063-651X Sankaranarayanan, R. ; Sheeba, Jane H. ; Lakshmanan, M. (2007) Dynamical echo in two-state quantum systems Chaos, Solitons & Fractals, 33 (5). pp. 1618-1624. ISSN 0960-0779 Kanna, T. ; Vijayajayanthi, M. ; Lakshmanan, M. (2007) Periodic energy switching of bright solitons in mixed coupled nonlinear Schrodinger equations with linear self-coupling and cross-coupling terms Physical Review A, 76 (1). 013808_1-013808_7. ISSN 1050-2947 Vijayalakshmi, S. ; Lakshmanan, M. (2007) Localized coherent structures of Ishimori equation I through Hirota's bilinearization method: time dependent/stationary boundaries Chaos, Solitons & Fractals, 33 (1). pp. 203-216. ISSN 0960-0779 Rajendran, S. ; Muruganandam, P. ; Lakshmanan, M. (2007) Nonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies Physica D: Nonlinear Phenomena, 227 (1). pp. 1-7. ISSN 0167-2789 Palaniyandi, P. ; Lakshmanan, M. (2007) Controlled parameter modulations in secure digital signal transmissions International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 17 (11). pp. 4187-4194. ISSN 0218-1274 Senthilkumar, D. V. ; Lakshmanan, M. (2007) Delay time modulation induced oscillating synchronization and intermittent anticipatory/lag and complete synchronizations in time-delay nonlinear dynamical systems Chaos, 17 (1). 013112_1-013112_11. ISSN 1054-1500 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2007) On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator Journal of Mathematical Physics, 48 (3). 032701_1-032701_12. ISSN 0022-2488 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2007) On the general solution for the modified Emden-type equation x.. + αxx. + βx3 = O Journal of Physics A: Mathematical and Theoretical, 40 (18). pp. 4717-4727. ISSN 1751-8113 Senthilkumar, D. V. ; Lakshmanan, M. ; Kurths, J. (2006) Phase synchronization in time-delay systems Physical Review E, 74 (3). 035205_1-035205_4. ISSN 1063-651X Thamilmaran, K. ; Senthilkumar, D. V. ; Venkatesan, A. ; Lakshmanan, M. (2006) Experimental realization of strange nonchaotic attractors in a quasiperiodically forced electronic circuit Physical Review E, 74 (3). 036205_1-036205_11. ISSN 1063-651X Senthil Kumar, C. ; Lakshmanan, M. ; Grammaticos, B. ; Ramani, A. (2006) Nonintegrability of (2+1)-dimensional continuum isotropic Heisenberg spin system: Painleve analysis Physics Letters A, 356 (4-5). pp. 339-345. ISSN 0375-9601 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2006) On the complete integrability and linearization of nonlinear ordinary differential equations. II. Third-order equations Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering Sciences, 462 (2070). pp. 1831-1852. ISSN 0962-8444 Kanna, T. ; Lakshmanan, M. ; Tchofo Dinda, P. ; Akhmediev, Nail (2006) Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear schrodinger equations Physical Review E, 73 (2). 026604_1-026604_15. ISSN 1063-651X Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2006) A unification in the theory of linearization of second-order nonlinear ordinary differential equations Journal of Physics A: Mathematical & General, 39 (3). L69-L76. ISSN 1751-8121 Chandrasekar, V. K. ; Senthilvelan, M. ; Kundu, Anjan ; Lakshmanan, M. (2006) A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators Journal of Physics A: Mathematical & General, 39 (31). pp. 9743-9754. ISSN 1751-8121 Chandrasekar, V. K. ; Pandey, S. N. ; Senthilvelan, M. ; Lakshmanan, M. (2006) A simple and unified approach to identify integrable nonlinear oscillators and systems Journal of Mathematical Physics, 47 (2). 023508_1-023508_37. ISSN 0022-2488 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2005) Unusual Lienard-type nonlinear oscillator Physical Review E, 72 (6). 066203_1-066203_8. ISSN 1063-651X Chandrasekar, V. K. ; Pandey, S. N. ; Senthilvelan, M. ; Lakshmanan, M. (2005) Application of extended Prelle-Singer procedure to the generalized modified Emden type equation Chaos, Solitons & Fractals, 26 (5). pp. 1399-1406. ISSN 0960-0779 Radha, R. ; Senthil Kumar, C. ; Lakshmanan, M. ; Tang, X. Y. ; Lou, S. Y. (2005) Periodic and localized solutions of the long wave-short wave resonance interaction equation Journal of Physics A: Mathematical and General, 38 (44). pp. 9649-9663. ISSN 1751-8121 Palaniyandi, P. ; Muruganandam, P. ; Lakshmanan, M. (2005) Desynchronized wave patterns in synchronized chaotic regions of coupled map lattices Physical Review E, 72 (3). 037205_1-037205_4. ISSN 1063-651X Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2005) On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering Sciences, 461 (2060). pp. 2451-2477. ISSN 0962-8444 Palaniyandi, P. ; Lakshmanan, M. (2005) Estimation of system parameters in discrete dynamical systems from time series Physics Letters A, 342 (1-2). pp. 134-139. ISSN 0375-9601 Palaniyandi, P. ; Lakshmanan, M. (2005) Estimation of system parameters and predicting the flow function from time series of continuous dynamical systems Physics Letters A, 338 (3-5). pp. 253-260. ISSN 0375-9601 Kosaka, C. ; Nakamura, K. ; Murugesh, S. ; Lakshmanan, Muthusamy (2005) Equatorial and related non-equilibrium states in magnetization dynamics of ferromagnets: generalization of Suhl's spin-wave instabilities Physica D: Nonlinear Phenomena, 203 (3-4). pp. 233-248. ISSN 0167-2789 Lakshmanan, M. (2005) Nonlinear dynamics: challenges and perspectives Pramana - Journal of Physics, 64 (4). pp. 617-632. ISSN 0304-4289 Senthilkumar, D. V. ; Lakshmanan, M. (2005) Transition from anticipatory to lag synchronization via complete synchronization in time-delay systems Physical Review E, 71 (1). 016211_1-016211. ISSN 1063-651X Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2005) Extended Prelle-Singer method and integrability/solvability of a class of nonlinear nth order ordinary differential equations Journal of Nonlinear Mathematical Physics, 12 (1-Suppl.). pp. 184-201. ISSN 1402-9251 Senthilkumar, D. V. ; Lakshmanan, M. (2005) Existence of anticipatory, complete and lag synchronizations in time-delay systems Journal of Physics: Conference Series, 23 (1). pp. 300-308. ISSN 1742-6588 Murugesh, S. ; Lakshmanan, M. (2005) Nonlinear dynamics of moving curves and surfaces: applications to physical systems International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 15 . pp. 51-63. ISSN 0218-1274 Thamilmaran, K. ; Senthilkumar, D. V. ; Lakshmanan, M. ; Ishaq Ahmed, A. (2005) Strong chaos in a forced negative conductance series LCR circuit International Journal of Bifurcation and Chaos, 15 (2). pp. 637-651. ISSN 0218-1274 Senthil Kumar, C. ; Radha, R. ; Lakshmanan, M. (2004) Exponentially localized solutions of Mel'nikov equation Chaos, Solitons & Fractals, 22 (3). pp. 705-712. ISSN 0960-0779 Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2004) New aspects of integrability of force-free duffing-van der Pol oscillator and related nonlinear systems Journal of Physics A: Mathematical & General, 37 (16). pp. 4527-4534. ISSN 1751-8121 Thamilmaran, K. ; Lakshmanan, M. ; Venkatesan, A. (2004) Hyperchaos in a modified canonical Chua's circuit International Journal of Bifurcation and Chaos, 14 (1). pp. 221-243. ISSN 0218-1274 Bindu, P. S. ; Senthilvelan, M. ; Lakshmanan, M. (2004) On the integrability, Bäcklund transformation and symmetry aspects of a generalized fisher type nonlinear reaction-diffusion equation Arxiv-eprints, 14 . pp. 1577-1600. Venkatesan, A. ; Parthasarathy, S. ; Lakshmanan, M. (2003) Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems Chaos, Solitons & Fractals, 18 (4). pp. 891-898. ISSN 0960-0779 Kato, T. ; Nakamura, K. ; Lakshmanan, M. (2003) Analytical calculation of nonadiabatic transition probabilities from the monodromy of differential equations Journal of Physics A: Mathematical and General, 36 (21). pp. 5803-5815. ISSN 1751-8121 Kanna, T. ; Lakshmanan, M. (2003) Exact soliton solutions of coupled nonlinear Schrodinger equations: shape-changing collisions, logic gates, and partially coherent solitons Physical Review E, 67 (4). 046617_1-046617_25. ISSN 1063-651X Jaworski, M. ; Lakshmanan, M. (2003) Comment on "Linear superposition in nonlinear equations" Physical Review Letters, 90 (23). p. 239401. ISSN 0031-9007 Murali, K. ; Lakshmanan, M. (2002) Chaotic dynamics of the driven Chua's circuit IEEE Transactions on Circuits and Systems Part I: Regular Papers, 40 (1). pp. 836-840. ISSN 1057-7122 Thamilmaran, K. ; Lakshmanan , M. (2002) Classification of bifurcations and routes to chaos in a variant of Murali-Lakshmanan-Chua circuit International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 12 (4). pp. 783-813. ISSN 0218-1274 Kanna, T. ; Lakshmanan, M. (2002) Effect of phase shift in shape changing collision of solitons in coupled nonlinear schrodinger equations European Physical Journal B, 29 (2). pp. 249-254. ISSN 1434-6028 Bindu, P. S. ; Senthilvelan, M. ; Lakshmanan, M. (2001) Singularity structure, symmetries and integrability of generalized Fisher-type nonlinear diffusion equation Journal of Physics A: Mathematical and General, 34 (49). L689-L696. ISSN 1751-8121 Lakshmanan, M. ; Kanna, T. (2001) Shape changing collisions of optical solitons, universal logic gates and partially coherent solitons in coupled nonlinear schrodinger equations Pramana - Journal of Physics, 57 (5-6). pp. 885-916. ISSN 0304-4289 Kanna, T. ; Lakshmanan, M. (2001) Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear Schrodinger equations Physical Review Letters, 86 (22). pp. 5043-5046. ISSN 0031-9007 Venkatesan, A. ; Lakshmanan, M. (2001) Interruption of torus doubling bifurcation and genesis of strange nonchaotic attractors in a quasiperiodically forced map: mechanisms and their characterizations Physical Review E, 63 (2). 026219_1-026219_14. ISSN 1063-651X Athavan, N. ; Froman, P. O. ; Froman, N. ; Lakshmanan, M. (2001) Quantal two-center Coulomb problem treated by means of the phase-integral method. I. General theory Journal of Mathematical Physics, 42 (11). pp. 5051-5076. ISSN 0022-2488 Athavan, N. ; Lakshmanan, M. ; Froman, N. (2001) Quantal two-center Coulomb problem treated by means of the phase-integral method. II. Quantization conditions in the symmetric case expressed in terms of complete elliptic integrals. Numerical illustration Journal of Mathematical Physics, 42 (11). pp. 5077-5095. ISSN 0022-2488 Athavan, N. ; Lakshmanan, M. ; Froman, N. (2001) Quantal two-center Coulomb problem treated by means of the phase-integral method. III. Quantization conditions in the general case expressed in terms of complete elliptic integrals. Numerical illustration Journal of Mathematical Physics, 42 (11). pp. 5096-5115. ISSN 0022-2488 Palaniyandi, P. ; Lakshmanan, M. (2001) Secure digital signal transmission by multistep parameter modulation and alternative driving of transmitter variables International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 11 . pp. 2031-2036. ISSN 0218-1274 Thamilmaran, K. ; Lakshmanan, M. ; Murali, K. (2000) Rich variety of bifurcations and Chaos in a variant of Murali-Lakshmanan-Chua circuit International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 10 . pp. 1781-1785. ISSN 0218-1274 Lakshmanan, M. ; Kanna, T. ; Radhakrishnan, R. (2000) Shape-changing collisions of coupled bright solitons in birefringent optical fibers Reports on Mathematical Physics, 46 (1-2). pp. 143-156. ISSN 0034-4877 Venkatesan, A. ; Lakshmanan, M. ; Prasad, A. ; Ramaswamy, R. (2000) Intermittency transitions to strange nonchaotic attractors in a quasiperiodically driven duffing oscillator Physical Review E, 61 (4). pp. 3641-3651. ISSN 1063-651X Lakshmanan, M. ; Muruganandam, P. (2000) Spatiotemporal patterns in arrays of coupled nonlinear oscillators Proceedings of the Indian National Science Academy - Part A: Physical Sciences, 66A . pp. 393-414. ISSN 0370-0046 Radha, R. ; Lakshmanan, M. (1999) Generalized dromions in the (2+1) dimensional long dispersive wave (2LDW) and scalar nonlinear schrodinger (NLS) equations Chaos, Solitons & Fractals, 10 (11). pp. 1821-1824. ISSN 0960-0779 Radhakrishnan, R. ; Kundu, A. ; Lakshmanan, M. (1999) Coupled nonlinear Schrodinger equations with cubic-quintic nonlinearity: integrability and soliton interaction in non-kerr media Physical Review E, 60 (3). pp. 3314-3323. ISSN 1063-651X Venkatesan, A. ; Murali, K. ; Lakshmanan, M. (1999) Birth of strange nonchaotic attractors through type III intermittency Physics Letters A, 259 (3-4). pp. 246-253. ISSN 0375-9601 Radha, R. ; Vijayalakshmi, S. ; Lakshmanan, M. (1999) Explode-decay dromions in the non-isospectral Davey-Stewartson I (DSI) equation Journal of Nonlinear Mathematical Physics, 6 (2). pp. 120-126. ISSN 1402-9251 Muruganandam, P. ; Parthasarathy, S. ; Lakshmanan, M. (1999) Comment on "Intermittent synchronization in a pair of coupled chaotic pendula" Physical Review Letters, 83 (6). p. 1259. ISSN 0031-9007 Radhakrishnan, R. ; Lakshmanan, M. (1999) Suppression and enhancement of soliton switching during interaction in periodically twisted birefringent fibers Physical Review E, 60 (2). pp. 2317-2321. ISSN 1063-651X Venkatesan, A. ; Lakshmanan, M. (1998) Different routes to chaos via strange nonchaotic attractors in a quasiperiodically forced system Physical Review E, 58 (3). pp. 3008-3016. ISSN 1063-651X Murali, K. ; Lakshmanan, M. (1998) Secure communication using a compound signal from generalized synchronizable chaotic systems Physics Letters A, 241 (6). pp. 303-310. ISSN 0375-9601 Thangavel, P. ; Murali, K. ; Lakshmanan, M. (1998) Bifurcation and controlling of chaotic delayed cellular neural networks International Journal of Bifurcation and Chaos, 8 (12). pp. 2481-2492. ISSN 0218-1274 Senthil Velan, M. ; Lakshmanan, Muthusamy (1998) Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2+1)-dimensional nonlinear evolution equations Journal of Nonlinear Mathematical Physics, 5 (2). pp. 190-211. ISSN 1402-9251 Lakshmanan, M. ; Myrzakulov, R. ; Vijayalakshmi, S. ; Danlybaeva, A. K. (1998) Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions Journal of Mathematical Physics, 39 (7). pp. 3765-3772. ISSN 0022-2488 Myrzakulov, R. ; Vijayalakshmi, S. ; Syzdykova, R. N. ; Lakshmanan, M. (1998) On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrodinger equations Journal of Mathematical Physics, 39 (4). pp. 2122-2140. ISSN 0022-2488 Venkatesan, A. ; Lakshmanan, M. (1997) Bifurcation and chaos in the double-well Duffing-van der Pol oscillator: numerical and analytical studies Physical Review E, 56 (6). pp. 6321-6330. ISSN 1063-651X Lakshmanan, M. (1997) Nonlinear physics: integrability, chaos and beyond Journal of the Franklin Institute, 334 (5-6). pp. 909-969. ISSN 0016-0032 Myrzakulov, R. ; Vijayalakshmi, S. ; Nugmanova, G. N. ; Lakshmanan, M. (1997) A (2+1)-dimensional integrable spin model: geometrical and gauge equivalent counterpart, solitons and localized coherent structures Physics Letters A, 233 (4-6). pp. 391-396. ISSN 0375-9601 Rajasekar, S. ; Murali, K. ; Lakshmanan, M. (1997) Control of chaos by nonfeedback methods in a simple electronic circuit system and the FitzHugh-Nagumo equation Chaos, Solitons & Fractals, 8 (9). pp. 1545-1558. ISSN 0960-0779 Radhakrishnan, R. ; Lakshmanan, M. ; Hietarinta, J. (1997) Inelastic collision and switching of coupled bright solitons in optical fibers Physical Review E, 56 (2). pp. 2213-2216. ISSN 1063-651X Muruganandam, P. ; Murali, K. ; Lakshmanan, M. (1997) Spatio-temporal dynamics of coupled array of Murali-Lakshmanan-Chua circuits International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 9 (1999). p. 805. ISSN 0218-1274 Murali, K. ; Lakshmanan, M. (1997) Efficient signal transmission by synchronization through compound chaotic signal Physical Review E, 56 (1). pp. 251-255. ISSN 1063-651X Radha, R. ; Lakshmanan, M. (1997) A new class of induced localized coherent structures in the (2+1)-dimensional nonlinear schrodinger equation Journal of Physics A: Mathematical & General, 30 (9). pp. 3229-3233. ISSN 1751-8121 Radha, R. ; Lakshmanan, M. (1997) Localized coherent structures and integrability in a generalized (2+1)-dimensional nonlinear Schrodinger equation Chaos, Solitons & Fractals, 8 (1). pp. 17-25. ISSN 0960-0779 Lakshmanan, M. ; Radha, R. (1997) Localized coherent structures of (2+1) dimensional generalizations of soliton systems Pramana - Journal of Physics, 48 (1). pp. 163-188. ISSN 0304-4289 Muruganandam, P. ; Lakshmanan, M. (1997) Bifurcation analysis of the travelling waveform of FitzHugh-Nagumo nerve conduction model equation Chaos, 7 (3). pp. 476-487. ISSN 1054-1500 Lakshmanan, M. (1997) Bifurcations, chaos, controlling and synchronization of certain nonlinear oscillators Lecture Notes in Physics, 495 . pp. 206-255. ISSN 0075-8450 Radha, R. ; Lakshmanan, M. (1997) Exotic coherent structures in the (2+1) dimensional long dispersive wave equation Journal of Mathematical Physics, 38 (1). pp. 292-299. ISSN 0022-2488 Senthil Velan, M. ; Lakshmanan, M. (1997) Invariance analysis of the (2+1) dimensional long dispersive wave equation Journal of Nonlinear Mathematical Physics, 4 (3-4). 251 - 260. ISSN 1402-9251 Senthil Velan, M. ; Lakshmanan, M. (1997) Lie symmetries and infinite-dimensional Lie algebras of certain (1 + 1)-dimensional nonlinear evolution equations Journal of Physics A: Mathematical and General, 30 (9). pp. 3261-3272. ISSN 0305-4470 Venkatesan, A. ; Lakshmanan, M. (1997) Nonlinear dynamics of damped and driven velocity-dependent systems Physical Review E, 55 (5). pp. 5134-5146. ISSN 1063-651X Murali, K. ; Lakshmanan, M. (1997) Synchronization through compound chaotic signal in Chua's circuit and Murali-Lakshmanan-Chua circuit International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 7 (2). pp. 415-421. ISSN 0218-1274 Radhakrishnan, R. ; Lakshmanan, M. (1996) Exact soliton solutions to coupled nonlinear Schrodinger equations with higher-order effects Physical Review E, 54 (3). pp. 2949-2955. ISSN 1063-651X Senthil Velan, M. ; Lakshmanan, M. (1996) Lie symmetries and invariant solutions of the shallow-water equation International Journal of Non-Linear Mechanics, 31 (3). pp. 339-344. ISSN 0020-7462 Radha, R. ; Lakshmanan, M. (1996) The (2+1)-dimensional sine-gordon equation; integrability and localized solutions Journal of Physics A: Mathematical & General, 29 (7). pp. 1551-1562. ISSN 1751-8121 Lipton, J. M. ; Dabke, K. P. ; Lakshmanan, M. (1996) Bispectral properties of the simplest dissipative nonautonomous chaotic circuit International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 6 (12A). pp. 2419-2425. ISSN 0218-1274 Lakshmanan, M. ; Senthil Velan, M. (1996) Lie Symmetries, infinite-dimensional Lie algebras and similarity reductions of certain (2+1)-dimensional nonlinear evolution equations Nonlinear Mathematical Physics, 3 (1-2). pp. 24-39. ISSN 1402-9251 Radhakrishnan, R. ; Lakshmanan, M. ; Daniel, M. (1995) Bright and dark optical solitons in coupled higher-order nonlinear Schrodinger equations through singularity structure analysis Journal of Physics A: Mathematical and General, 28 (24). pp. 7299-7314. ISSN 1751-8121 Radhakrishnan, R. ; Sahadevan, R. ; Lakshmanan, Muthusamy (1995) Integrability and singularity structure of coupled nonlinear Schrodinger equations Chaos, Solitons & Fractals, 5 (12). pp. 2315-2327. ISSN 0960-0779 Radhakrishnan, R. ; Lakshmanan, Muthusamy (1995) Bright and dark soliton solutions to coupled nonlinear Schrodinger equations Journal of Physics A: Mathematical & General, 28 (9). pp. 2683-2692. ISSN 1751-8121 Radha, R. ; Lakshmanan, M. (1995) Dromion like structures in the (2+1)-dimensional breaking soliton equation Physics Letters A, 197 (1). pp. 7-12. ISSN 0375-9601 Murali, K. ; Lakshmanan, M. ; Chua, L. O. (1995) Controlling and synchronization of chaos in the simplest dissipative non-autonomous circuit International Journal of Bifurcation and Chaos, 5 (2). pp. 563-571. ISSN 0218-1274 Lakshmanan, M. ; Murali, K. (1995) Experimental chaos from non-autonomous electronic circuits Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, 353 (1701). pp. 33-46. ISSN 1364-503X Velan, M. S. ; Lakshmanan, H. (1995) Lie symmetries and infinite-dimensional Lie algebras of certain nonlinear dissipative systems Journal of Physics A: Mathematical and General, 28 (7). pp. 1929-1942. ISSN 0305-4470 Radha, R. ; Lakshmanan, M. (1995) On the integrability and singularity structure aspects of deformed nonlinear evolution equations of AKNS type Journal of Physics A: Mathematical and General, 28 (23). pp. 6977-6988. ISSN 0305-4470 Radha, R. ; Lakshmanan, M. (1994) Singularity structure analysis and bilinear form of a (2+1) dimensional non-linear Schrodinger (NLS) equation Inverse Problems, 10 (4). L29-L33. ISSN 0266-5611 Murali, K. ; Lakshmanan, M. (1994) Drive-response scenario of chaos synchronization in identical nonlinear systems Physical Review E, 49 (6). pp. 4882-4885. ISSN 1063-651X Murali, K. ; Lakshmanan, M. ; Chua, L. O. (1994) The simplest dissipative nonautonomous chaotic circuit IEEE Transactions on Circuits and Systems Part I: Regular Papers, 41 (6). pp. 462-463. ISSN 1057-7122 Lakshmanan, M. ; Kaliappan, P. ; Larsson, K. ; Karlsson, F. ; Froman, P. O. (1994) Phase-integral approach to quantal two-and three-dimensional isotropic anharmonic oscillators Physical Review A, 49 (5). pp. 3296-3309. ISSN 1050-2947 Rajasekar, S. ; Lakshmanan, M. (1994) Bifurcation, chaos and suppression of chaos in FitzHugh-Nagumo nerve conduction model equation Journal of Theoretical Biology, 166 (3). pp. 275-288. ISSN 0022-5193 Radha, R. ; Lakshmanan, M. (1994) Multisoliton generation in inhomogeneous nonlinear Schrödinger and Heisenberg spin systems Chaos, Solitons & Fractals, 4 (2). pp. 181-189. ISSN 0960-0779 Ganesan, K. ; Lakshmanan, M. (1994) Applicability of Brody distribution in the study of quantum chaos of the hydrogen atom in a generalized van der Waals potential Journal of Physics B: Atomic, Molecular and Optical Physics, 27 (13). pp. 2809-2820. ISSN 0953-4075 Murali, K. ; Lakshmanan, M. ; Chua, L. O. (1994) Bifurcation and chaos in the simplest dissipative non-autonomous circuit International Journal of Bifurcation and Chaos, 4 (6). pp. 1511-1524. ISSN 0218-1274 Daniel, M. ; Porsezian, K. ; Lakshmanan, M. (1994) On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions Journal of Mathematical Physics, 35 (12). pp. 6498-6510. ISSN 0022-2488 Radha, R. ; Lakshmanan, M. (1994) Singularity analysis and localized coherent structures in (2+ 1)-dimensional generalized Korteweg-de Vries equations Journal of Mathematical Physics, 35 (9). pp. 4746-4756. ISSN 0022-2488 Bountis, T. C. ; Drossos, L. B. ; Lakshmanan, M. ; Parthasarathy, S. (1993) On the non-integrability of a family of Duffing-van der Pol oscillators Journal of Physics A: Mathematical & General, 26 (23). pp. 6927-6942. ISSN 1751-8121 Murali, K. ; Lakshmanan, M. (1993) Transmission of signals by synchronization in a chaotic Van der Pol-Duffing oscillator Physical Review E, 48 (3). R1624-R1626. ISSN 1063-651X Rajasekar, S. ; Lakshmanan, M. (1993) Algorithms for controlling chaotic motion: application for the BVP oscillator Physica D: Nonlinear Phenomena, 67 (1-3). pp. 282-300. ISSN 0167-2789 Ganesan, K. ; Lakshmanan, M. (1993) Quantum chaos of the hydrogen atom in a generalized van der waals potential Physical Review A, 48 (2). pp. 964-976. ISSN 1050-2947 Daniel, M. ; Porsezian, K. ; Lakshmanan, M. (1993) On the integrable models of the higher order water wave equation Physics Letters A, 174 (3). pp. 237-240. ISSN 0375-9601 Lakshmanan, M. ; Sahadevan, R. (1993) Painleve analysis, Lie symmetries, and integrability of coupled nonlinear oscillators of polynomial type Physics Reports, 224 (1-2). pp. 1-93. ISSN 0370-1573 Lakshmanan, M. (1993) Analytic methods for soliton systems International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 3 (1). pp. 3-17. ISSN 0218-1274 Murali, K. ; Lakshmanan, M. (1993) Controlling of chaos in the driven Chua's circuit Journal of Circuits, Systems, and Computers, 3 (1). pp. 125-137. ISSN 0218-1266 Murali, K. ; Lakshmanan, M. (1993) Synchronizing chaos in driven Chua's circuit International Journal of Bifurcation and Chaos, 3 (4). pp. 1057-1066. ISSN 0218-1274 Nakamura, K. ; Lakshmanan, M. ; Gaspard, P. ; Rice, S. A. (1992) Field-theoretical model inspired by adiabatic-ansatz eigenvalue problems Physical Review A, 46 (10). pp. 6311-6314. ISSN 1050-2947 Rajasekar, S. ; Parthasarathy, S. ; Lakshmanan, M. (1992) Prediction of horseshoe chaos in BVP and DVP oscillators Chaos, Solitons & Fractals, 2 (3). pp. 271-280. ISSN 0960-0779 Murali, K. ; Lakshmanan, M. (1992) Effect of sinusoidal excitation on the Chua's circuit IEEE Transactions on Circuits and Systems Part I: Regular Papers, 39 (4). pp. 264-270. ISSN 1057-7122 Lakshmanan, M. ; Senthil Velan, M. (1992) Direct integration of generalized lie symmetries of nonlinear Hamiltonian systems with two degrees of freedom: integrability and separability Journal of Physics A: Mathematical & General, 25 (5). pp. 1259-1272. ISSN 1751-8121 Ganesan, K. ; Lakshmanan, M. (1992) Semiclassical quantization of the hydrogen atom in a generalized van der waals potential Physical Review A, 45 (3). pp. 1548-1555. ISSN 1050-2947 Rajasekar, S. ; Lakshmanan, M. (1992) Controlling of chaos in Bonhoeffer-van der Pol oscillator International Journal of Bifurcation and Chaos, 2 (1). pp. 201-204. ISSN 0218-1274 Lakshmanan, M. ; Senthil Velan, M. (1992) Direct integration of generalized Lie or dynamical symmetries of three degrees of freedom nonlinear Hamiltonian systems: integrability and separability Journal of Mathematical Physics, 33 (12). pp. 4068-4077. ISSN 0022-2488 Porsezian, K. ; Daniel, M. ; Lakshmanan, M. (1992) On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic heisenberg spin chain Journal of Mathematical Physics, 33 (5). pp. 1807-1816. ISSN 0022-2488 Daniel, M. ; Kruskal, M. D. ; Lakshmanan, M. ; Nakamura, K. (1992) Singularity structure analysis of the continuum heisenberg spin chain with anisotropy and transverse field: nonintegrability and chaos Journal of Mathematical Physics, 33 (2). pp. 771-776. ISSN 0022-2488 Murali, K. ; Lakshmanan, M. (1992) Transition from quasiperiodicity to chaos and devil's staircase structures of the driven Chua's circuit International Journal of Bifurcation and Chaos, 2 (3). pp. 621-632. ISSN 0218-1274 Parthasarathy, S. ; Lakshmanan, M. (1991) Analytic structure of the damped driven Morse oscillator Physics Letters A, 157 (6-7). pp. 365-370. ISSN 0375-9601 Murali, K. ; Lakshmanan, M. (1991) Bifurcation and chaos of the sinusoidally-driven Chua's circuit International Journal of Bifurcation and Chaos, 1 (2). pp. 369-384. ISSN 0218-1274 Lakshmanan, M. ; Sahadevan, R. (1991) Generalized lie symmetries and complete integrability of certain nonlinear Hamiltonian systems with three degrees of freedom Journal of Mathematical Physics, 32 (1). pp. 75-83. ISSN 0022-2488 Porsezian, K. ; Lakshmanan, M. (1991) On the dynamics of the radially symmetric heisenberg ferromagnetic spin system Journal of Mathematical Physics, 32 (10). pp. 2923-2928. ISSN 0022-2488 Murali, K. ; Lakshmanan, M. (1990) Observation of many bifurcation sequences in a driven piecewise-linear circuit Physics Letters A, 151 (8). pp. 412-419. ISSN 0375-9601 Ganesan, K. ; Lakshmanan, M. (1990) Dynamics of atomic hydrogen in a generalized van der waals potential Physical Review A, 42 (7). pp. 3940-3947. ISSN 1050-2947 Rajasekar, S. ; Lakshmanan, M. (1990) Bifurcation and chaotic motion of a soliton in a long Josephson junction oscillator Physica A: Statistical and Theoretical Physics, 167 (3). pp. 793-809. ISSN 0378-4371 Rajasekar, S. ; Lakshmanan, M. (1990) Multiple attractors and their basins of attraction of a long Josephson junction oscillator Physics Letters A, 147 (5-6). pp. 264-268. ISSN 0375-9601 Lakshmanan, M. ; Porsezian, K. (1990) Planar radially symmetric Heisenberg spin system and generalized nonlinear Schrodinger equation: Gauge equivalence, Backlund transformations and explicit solutions Physics Letters A, 146 (6). pp. 329-334. ISSN 0375-9601 Parthasarathy, S. ; Lakshmanan, M. (1990) On the exact solutions of the duffing oscillator Journal of Sound and Vibration, 137 (3). pp. 523-526. ISSN 0022-460X Parthasarathy, S. ; Lakshmanan, M. (1990) On the analytic structure of the driven pendulum Journal of Physics A: Mathematical and General, 23 (23). L1223-L1228. ISSN 0305-4470 Porsezian, K. ; Lakshmanan, M. (1989) Discretised Hirota equation, equivalent spin chain and Backlund transformations Inverse Problems, 5 (2). L15. ISSN 0266-5611 Ganesan, K. ; Lakshmanan, M. (1989) Comment on "Dynamical symmetries of the perturbed hydrogen atom: the van der Waals interaction" Physical Review Letters, 62 (2). p. 232. ISSN 0031-9007 Lakshmanan, M. (1989) On the higher-order deformed Heisenberg spin equation as an exactly solvable dynamical system Journal of Physics A: Mathematical and General, 22 (21). pp. 4735-4736. ISSN 0305-4470 Lakshmanan, M. ; Porsezian, K. ; Daniel, M. (1988) Effect of discreteness on the continuum limit of the Heisenberg spin chain Physics Letters A, 133 (9). pp. 483-488. ISSN 0375-9601 Rajasekar, S. ; Lakshmanan, M. (1988) Period doubling route to chaos for a BVP oscillator with periodic external force Journal of Theoretical Biology, 133 (4). pp. 473-477. ISSN 0022-5193 Rajasekar, S. ; Lakshmanan, M. (1988) Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator Physica D: Nonlinear Phenomena, 32 (1). pp. 146-152. ISSN 0167-2789 Porsezian, K. ; Lakshmanan, M. ; Tamizhmani, K. M. (1987) Geometrical equivalence of a deformed heisenberg spin equation and the generalized nonlinear schrodinger equation Physics Letters A, 124 (3). pp. 159-160. ISSN 0375-9601 Ravi, N. ; Tamizhmani, K. M. ; Lakshmanan, M. (1987) Explicit solutions and linearisation of certain non-linear evolution equations-bilinear transformation method Journal of Physics A: Mathematical and General, 20 (10). pp. 3047-3050. ISSN 0305-4470 Ganesan, S. ; Lakshmanan, M. (1987) Singularity-structure analysis and Hirota's bilinearisation of the Davey-Stewartson equation Journal of Physics A: Mathematical and General, 20 (17). L1143-L1148. ISSN 0305-4470 Nakamura, K. ; Lakshmanan, M. (1986) Complete integrability in a quantum description of chaotic systems Physical Review Letters, 57 (14). pp. 1661-1664. ISSN 0031-9007 Sahadevan, R. ; Tamizhmani, K. M. ; Lakshmanan, M. (1986) Painleve analysis and integrability of coupled non-linear Schrodinger equations Journal of Physics A: Mathematical & General, 19 (10). pp. 1783-1791. ISSN 1751-8121 Sahadevan, R. ; Lakshmanan, M. (1986) Complete integrability of coupled quartic anharmonic oscillators Physical Review A, 33 (5). pp. 3563-3566. ISSN 1050-2947 Hasegawa, Hiroshi ; Lakshmanan, Muthusamy ; Okazaki, Yoshinori (1986) Effective g-factor for two strongly exchange-coupled magnetization vectors Progress of Theoretical Physics, 75 (3). pp. 550-555. ISSN 0033-068X Sahadevan, R. ; Lakshmanan, M. (1986) Invariance and integrability: Henon-Heiles and two coupled quartic anharmonic oscillator systems Journal of Physics A: Mathematical and General, 19 (16). L949-L954. ISSN 0305-4470 Tamizhmani, K. M. ; Lakshmanan, M. (1986) Linearization and Painleve property of Liouville and Cheng equations Journal of Mathematical Physics, 27 (9). pp. 2257-2258. ISSN 0022-2488 Thompson, C. J. ; Ross, K. A. ; Thompson, B. J. P. ; Lakshmanan, M. (1985) Chaotic planar states of the discrete dynamical anisotropic Heisenberg spin chain Physica A: Statistical Mechanics and its Applications, 133 (1-2). pp. 330-336. ISSN 0378-4371 Lakshmanan, M. ; Ganesan, S. (1985) Geometrical and gauge equivalence of the generalized hirota, Heisenberg and wkis equations with linear inhomogeneities Physica A: Statistical and Theoretical Physics, 132 (1). pp. 117-142. ISSN 0378-4371 Lakshmanan, M. ; Sahadevan, R. (1985) Coupled quartic anharmonic oscillators, painleve analysis, and integrability Physical Review A, 31 (2). pp. 861-876. ISSN 1050-2947 Lakshmanan, M. ; Tamizhmani, K. M. (1985) Lie-Backlund symmetries of certain nonlinear evolution equations under perturbation around their solutions Journal of Mathematical Physics, 26 (6). pp. 1189-1200. ISSN 0022-2488 Hasegawa, H. ; Klauder, J. R. ; Lakshmanan, M. (1985) Towards a satisfactory formulation of the quantum Langevin equation Journal of Physics A: Mathematical and General, 18 (3). L123. ISSN 0305-4470 Lakshmanan, M. ; Nakamura, K. (1984) Landau-Lifshitz equation of ferromagnetism: exact treatment of the Gilbert damping Physical Review Letters, 53 (26). pp. 2497-2499. ISSN 0031-9007 Lakshmanan, M. ; Hasegawa, H. (1984) On the canonical equivalence of the kepler problem in coordinate and momentum spaces Journal of Physics A: Mathematical and General, 17 (16). L889-L894. ISSN 1751-8121 Lakshmanan, M. ; Sahadevan, R. (1984) Painlevé property of coupled anharmonic oscillators with N degrees of freedom Physics Letters A, 101 (4). pp. 189-194. ISSN 0375-9601 Tamizhmani, K. M. ; Lakshmanan, M. (1983) The existence of infinitely many Lie-Bäcklund symmetries for a new derivative nonlinear schrödinger equation Physics Letters A, 99 (1). pp. 10-14. ISSN 0375-9601 Tamizhmani, K. M. ; Lakshmanan, M. (1983) Complete integrability of the Kortweg-de Vries equation under perturbation around its solution: Lie-Backlund symmetry approach Journal of Physics A: Mathematical & General, 16 (16). pp. 3773-3782. ISSN 1751-8121 Daniel, M. ; Lakshmanan, M. (1983) Perturbation of solitons in the classical continuum isotropic Heisenberg spin system Physica A: Statistical and Theoretical Physics, 120 (1-2). pp. 125-152. ISSN 0378-4371 Lakshmanan, M. ; Tamizhmani, K. M. (1983) Comment on "Method for the exact solution of a nonlinear diffusion-convection equation" Physical Review Letters, 51 (16). p. 1497. ISSN 0031-9007 Lakshmanan, M. ; Daniel, M. (1983) Comment on the classical models of electrons and nuclei and the generalizations of classical Poisson brackets to include spin Journal of Chemical Physics, 78 (12). pp. 7505-7506. ISSN 0021-9606 Lakshmanan, M. ; Ganesan, S. (1983) Equivalent forms of a generalized Hirota's equation with linear inhomogeneities Journal of the Physical Society of Japan, 52 . pp. 4031-4033. ISSN 0031-9015 Lakshmanan, M. ; Kaliappan, P. (1983) Lie transformations, nonlinear evolution equations, and Painleve forms Journal of Mathematical Physics, 24 (4). pp. 795-806. ISSN 0022-2488 Tamizhmani, K. M. ; Lakshmanan, M. (1982) Infinitely many lie-backlund symmetries for a quasi-linear evolution equation Physics Letters A, 90 (4). pp. 159-161. ISSN 0375-9601 Kaliappan, P. ; Lakshmanan, M. (1982) Connection between the infinite sequence of Lie-Backlund symmetries of the Korteweg-de Vries and sine-Gordon equations Journal of Mathematical Physics, 23 (3). pp. 456-459. ISSN 0022-2488 Lakshmanan, M. ; Ganesan, S. (1982) Solitary front-like wave solutions of the Kortewegde Vries-Burgers' equation Zeitschrift für Naturforschung - Teil A: Physik, Physikalische Chemie, Kosmophysik, 37 . p. 1211. ISSN 0340-4811 Lakshmanan, M. ; Daniel, M. (1981) Soliton damping and energy loss in the classical continuum Heisenberg spin chain Physical Review B, 24 (11). pp. 6751-6754. ISSN 0163-1829 Lakshmanan, M. ; Karlsson, F. ; Froman, P. O. (1981) Phase-integral calculation of the energy levels of a quantal anharmonic oscillator Physical Review D, 24 (10). pp. 2586-2598. ISSN 0556-2821 Lakshmanan, M. ; Daniel, M. (1981) On the evolution of higher dimensional Heisenberg continuum spin systems Physica A: Statistical and Theoretical Physics, 107 (3). pp. 533-552. ISSN 0378-4371 Lakshmanan, M. ; Rajagopal, K. (1981) A singular perturbation theory for the FitzHugh-Nagumo nerve conduction equation Physics Letters A, 82 (5). pp. 266-270. ISSN 0375-9601 Lakshmanan, M. ; Tamizhmani, K. M. (1981) Motion of strings, embedding problem and soliton equations Applied Scientific Research, 37 (1-2). pp. 127-143. ISSN 0003-6994 Kaliappan, P. ; Lakshmanan, M. (1981) Similarity solutions for the Ernst equations with electromagnetic fields Journal of Mathematical Physics, 22 (11). pp. 2447-2451. ISSN 0022-2488 Lakshmanan, M. ; Bullough, R. K. (1980) Geometry of generalised nonlinear Schrodinger and Heisenberg ferromagnetic spin equations with linearly x-dependent coefficients Physics Letters A, 80 (4). pp. 287-292. ISSN 0375-9601 Lakshmanan, M. ; Daniel, M. ; Kaliappan, P. (1980) Point singularities in micromagnetic systems with radial symmetry Journal of Physics C: Solid State Physics, 13 (25). pp. 4743-4749. ISSN 0022-3719 Lakshmanan, M. ; Kaliappan, P. (1980) On the energy levels of an isotropic anharmonic oscillator Journal of Physics A: Mathematical and General, 13 (9). L299-L302. ISSN 0305-4470 Kaliappan, P. ; Lakshmanan, M. ; Ponnuswamy, P. K. (1980) Travelling waves for a model non-linear reaction-diffusion system Journal of Physics A: Mathematical and General, 13 (7). L227-L230. ISSN 0305-4470 Lakshmanan, M. ; Kaliappan, P. ; Daniel, M. (1979) Stationary, spherically and axially symmetric spin waves in the continuum heisenberg spin system Physics Letters A, 75 (1-2). pp. 97-98. ISSN 0375-9601 Kaliappan, P. ; Lakshmanan, M. (1979) Kadomstev-Petviashvile and two-dimensional sine-Gordon equations: reduction to Painleve transcendents Journal of Physics A: Mathematical & General, 12 (10). L249-L252. ISSN 1751-8121 Lakshmanan, M. (1979) On a non-linear harmonic oscillator Journal of Sound and Vibration, 64 (3). pp. 458-461. ISSN 0022-460X Lakshmanan, M. ; Kaliappan, P. (1979) On the invariant solutions of the Korteweg-de Vries-burgers equation Physics Letters A, 71 (2-3). pp. 166-168. ISSN 0375-9601 Fröman, P. O. ; Karlsson, F. ; Lakshmanan , M. (1979) Comments on "Anharmonic oscillator" Physical Review D - Particles and Fields, 20 (12). pp. 3435-3436. ISSN 0556-2821 Lakshmanan, M. (1979) Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons Journal of Mathematical Physics, 20 (8). pp. 1667-1672. ISSN 0022-2488 Lakshmanan, M. (1978) Comment on the "Fundamental frequency of vibration of a beam on a non-linear elastic foundation" Journal of Sound and Vibration, 58 (3). pp. 455-457. ISSN 0022-460X Broer, L. J. F. ; Lakshmanan, M. (1978) On a proposed alternative to the KdV equation Physics Letters A, 66 (3). pp. 173-174. ISSN 0375-9601 Lakshmanan, M. (1978) On the geometrical interpretation of solitons Physics Letters A, 64 (4). pp. 354-356. ISSN 0375-9601 Lakshmanan, M. (1978) Prolongation structures and connection forms for the Lund-Regge system Progress of Theoretical Physics, 60 (1). pp. 88-91. ISSN 0033-068X Ponnuswamy, P. K. ; Lakshmanant, M. (1977) A non-linear model for the synaptic basis of neuronal memory Journal of Theoretical Biology, 68 (4). pp. 483-489. ISSN 0022-5193 Lakshmanan, M. (1977) Continuum spin system as an exactly solvable dynamical system Physics Letters A, 61 (1). pp. 53-54. ISSN 0375-9601 Lakshmanan, M. (1977) Average hydrodynamic behaviour of a non-linear pion-pion chiral Lagrangian Acta Physica Academiae Scientiarum Hungaricae, 42 (2). pp. 151-157. ISSN 0001-6705 Lakshmanan, M. ; Venkataramanan, B. (1977) Method of action-angle variables and the classical dynamics of a nonlinear Lagrangian International Journal of Theoretical Physics, 16 (9). pp. 649-657. ISSN 0020-7748 Dutt, R. ; Lakshmanan, M. (1976) Application of coherent state representation to classical x6 and coupled anharmonic oscillators Journal of Mathematical Physics, 17 (4). pp. 482-484. ISSN 0022-2488 Lakshmanan, M. ; Ruijgrok, Th. W. ; Thompson, C. J. (1976) On the dynamics of a continuum spin system Physica A: Statistical Mechanics and its Applications, 84 (3). pp. 577-590. ISSN 0378-4371 Lakshmanan, M. ; Eswaran, K. (1975) Quantum dynamics of a solvable nonlinear chiral model Journal of Physics A: Mathematical & General, 8 (10). pp. 1658-1669. ISSN 1751-8121 Lakshmanan, M. ; Ponnuswamy, P. K. (1975) Nonlinear effects on the synaptic basis of memory Journal of Theoretical Biology, 53 (1). pp. 239-242. ISSN 0022-5193 Lakshmanan, M. (1975) Dispersive Φ4 wave propagation Journal of Physics A: Mathematical and General, 8 (5). pp. 788-799. ISSN 0305-4470 Mathews, P. M. ; Lakshmanan, M. (1975) A quantum-mechanically solvable nonpolynomial Lagrangian with velocity-dependent interaction IL Nuovo Cimento A (1971-1996), 26 (3). pp. 299-316. ISSN 0369-3546 Lakshmanan, M. (1974) Nonlinear chiral dispersive waves Journal of Physics A: Mathematical, Nuclear and General, 7 (8). pp. 889-897. ISSN 0301-0015 Lakshmanan, M. (1973) The doubly anharmonic oscillator Lettere Al Nuovo Cimento (1971 - 1985), 8 (12). pp. 743-748. ISSN 0375-930X Lakshmanan, M. ; Prabhakaran, J. (1973) The energy levels of an x6 anharmonic oscillator Lettere Al Nuovo Cimento (1971 - 1985), 7 (15). pp. 689-693. ISSN 0375-930X Mathews, P. M. ; Lakshmanan, M. (1973) Dynamics of a nonlinear field Annals of Physics, 79 (1). pp. 171-185. ISSN 0003-4916 Mathews, P. M. ; Lakshmanan, M. (1972) On the apparent visual forms of relativistically moving objects Il Nuovo Cimento B (1971-1996), 12 (1). pp. 168-181. ISSN 0369-3554 |