Sharma, Amit ; Shrimali, Manish Dev ; Prasad, Awadhesh ; Ramaswamy, Ram ; Feudel, Ulrike (2011) Phase-flip transition in relay-coupled nonlinear oscillators Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 84 (1). Article ID 016226. ISSN 1539-3755
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Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysR...
Related URL: http://dx.doi.org/10.1103/PhysRevE.84.016226
Abstract
We study the dynamics of oscillators that are coupled in relay; namely, through an intermediary oscillator. From previous studies it is known that the oscillators show a transition from in-phase to out-of-phase oscillations or vice versa when the interactions involve a time delay. Here we show that, in the absence of time delay, relay coupling through conjugate variables has the same effect. However, this phase-flip transition does not occur abruptly at a certain critical value of the coupling parameter. Instead we find a parameter region around the phase-flip transition where bistability occurs. In this parameter interval in-phase and out-of-phase oscillations coexist with changing sizes of their basins of attraction. Further increase of the coupling strength leads to amplitude death and subsequently to the stabilization of a fixed point. These transitions are characterized through various quantities such as the average phase difference and crossings in the spectrum of Lyapunov exponents. Numerical results are presented for a specific case of coupled Rössler-like oscillators.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 98825 |
Deposited On: | 15 May 2015 12:19 |
Last Modified: | 15 May 2015 12:19 |
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