Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles

Details Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles

2010-12-03

arxiv.org/abs/1012.0652v1

Chaos, v. 20, n.4, 043134 (2010)

Nonlinear Sciences

Chaotic Dynamics

19 pages

Scientific paper

We study chaotic behavior of order parameters in two coupled ensembles of self-sustained oscillators. Coupling within each of these ensembles is switched on and off alternately, while the mutual interaction between these two subsystems is arranged through quadratic nonlinear coupling. We show numerically that in the course of alternating Kuramoto transitions to synchrony and back to asynchrony, the exchange of excitations between two subpopulations proceeds in such a way that their collective phases are governed by an expanding circle map similar to the Bernoulli map. We perform the Lyapunov analysis of the dynamics and discuss finite-size effects.

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