From phase to lag synchronization in coupled chaotic oscillators
From phase to lag synchronization in coupled chaotic oscillators
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DOI：
10.1103/physrevlett.78.4193
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发表时间：
1997-06-02
影响因子：
8.6
通讯作者：
Kurths, J
中科院分区：
文献类型：
--
作者：
Rosenblum, MG;Pikovsky, AS;Kurths, J
研究了两个耦合自维持混沌振子系统的同步跃迁。我们证明，随着耦合强度的增加，系统首先经历了相同步的过渡。随着耦合的进一步增加，观察到一个新的同步状态，其中两个振子的状态几乎相同，但一个系统在时间上滞后于另一个。我们将此机制描述为具有相关振幅和恒定相移的状态。这些转变在李雅普诺夫谱中被追踪。
We study synchronization transitions in a system of two coupled self-sustained chaotic oscillators. We demonstrate that with the increase of coupling strength the system first undergoes the transition to phase synchronization. With a further increase of coupling, a new synchronous regime is observed, where the states of two oscillators are nearly identical, but one system lags in time to the other. We describe this regime as a state with correlated amplitudes and a constant phase shift. These transitions are traced in the Lyapunov spectrum.