Singh, Thounaojam Umeshkanta ; Nandi, Amitabha ; Ramaswamy, Ramakrishna (2008) Scenarios for generalized synchronization with chaotic driving Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 78 (2). 025205_1-025205_4. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v78/i2/e025205
Related URL: http://dx.doi.org/10.1103/PhysRevE.78.025205
Abstract
In chaotically driven nonlinear dynamical systems, weak generalized synchrony can arise through distinct scenarios or routes in a manner similar to the onset of low-dimensional chaos or the creation of strange nonchaotic attractors in quasiperiodically driven systems. The limit sets of the dynamics for weak generalized synchronization are nonchaotic-the Lyapunov exponent is nonpositive-and are geometrically strange. Quantitative measures related to the parameter sensitivity exponent and finite-time Lyapunov exponent distributions can be defined in order to characterize generalized synchronization.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 45327 |
| Deposited On: | 28 Jun 2011 04:51 |
| Last Modified: | 28 Jun 2011 04:51 |
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