Ghosh, Pushpita ; Sen, Shrabani ; Riaz, Syed Shahed ; Ray, Deb Shankar (2011) Controlling birhythmicity in a self-sustained oscillator by time-delayed feedback Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 83 (3). 036205_1-036205_9. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v83/i3/e036205
Related URL: http://dx.doi.org/10.1103/PhysRevE.83.036205
Abstract
Time-delayed feedback is a practical method for controlling various nonlinear dynamical systems. We consider its influence on the dynamics of a multicycle van der Pol oscillator that is birhythmic in nature. It has been shown that depending on the strength of delay the bifurcation space can be divided into two subspaces for which the dynamical response of the system is generically distinct. We observe an interesting collapse and revival of birhythmicity with the variation of the delay time. Depending on the parameter space the system also exhibits a transition between birhythmicity and monorhythmic behavior. Our analysis of amplitude equation corroborates with the results obtained by numerical simulation of the dynamics.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 59140 |
| Deposited On: | 03 Sep 2011 12:05 |
| Last Modified: | 03 Sep 2011 12:05 |
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