Collective phase chaos in the dynamics of interacting oscillator ensembles.
Collective phase chaos in the dynamics of interacting oscillator ensembles.
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相互作用的振子系综动力学中的集体相位混沌。
作者：
S. Kuznetsov;A. Pikovsky;M. Rosenblum
研究了两个耦合系综自持振子系统序参量的混沌行为。这些合奏内的耦合是交替打开和关闭，而这两个子系统之间的相互作用是通过二次非线性耦合安排。我们数值表明，在交替仓本过渡到同步和回同步的过程中，两个子群之间的激发交换的收益这样一种方式，他们的集体阶段是由一个扩大的圆地图类似的伯努利地图。我们进行了李雅普诺夫动力学分析，并讨论了有限尺寸效应。
We study the 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.