Prasad, Awadhesh ; Kurths, Jürgen ; Dana, Syamal Kumar ; Ramaswamy, Ramakrishna (2006) Phase-flip bifurcation induced by time delay Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 74 (3). 035204_1-035204_4. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v74/i3/e035204
Related URL: http://dx.doi.org/10.1103/PhysRevE.74.035204
Abstract
We present a general bifurcation in the synchronized dynamics of time-delay-coupled nonlinear oscillators. The relative phase between the oscillators jumps from zero to Π as a function of the coupling; this phase-flip bifurcation is accompanied by a discontinuous change in the frequency of the synchronized oscillators. This phenomenon is of broad relevance, being observed in regimes of oscillator death as well as in periodic, quasiperiodic, and chaotic dynamics. Time-delay coupling is necessary for the phase-flip bifurcation. We illustrate the phenomenon, and present analytical results for paradigmatic nonlinear systems. Possible applications are discussed.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 45329 |
| Deposited On: | 28 Jun 2011 04:51 |
| Last Modified: | 28 Jun 2011 04:51 |
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