Oscillatory and rotatory synchronization of chaotic autonomous phase systems.
Oscillatory and rotatory synchronization of chaotic autonomous phase systems.
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DOI：
10.1103/physreve.67.066216
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发表时间：
2003-06
期刊：
影响因子：
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通讯作者：
Bambi Hu;G. Osipov;Hong-liu Yang;J. Kurths
中科院分区：
文献类型：
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作者：
Bambi Hu;G. Osipov;Hong-liu Yang;J. Kurths
证明了两个耦合混沌相位系统的旋转同步、振荡同步和振荡-旋转同步的存在性。根据运动的相干性，我们发现了四种过渡到相位同步的类型，其特征是相位变量扩散。当扩散较小时，相位同步的开始伴随着李雅普诺夫谱的变化；其中一个李雅普诺夫指数为零，在这个开始之前变成负的。如果相位变量的扩散较强，则相位同步和广义同步同时发生，即其中一个正Lyapunov指数变为负，或者广义同步甚至先于相位同步出现。对于中间扩散，通过超混沌集的内危机实现相位同步。讨论了相同步的软过渡和硬过渡。
The existence of rotatory, oscillatory, and oscillatory-rotatory synchronization of two coupled chaotic phase systems is demonstrated in the paper. We find four types of transition to phase synchronization depending on coherence properties of motions, characterized by phase variable diffusion. When diffusion is small the onset of phase synchronization is accompanied by a change in the Lyapunov spectrum; one of the zero Lyapunov exponents becomes negative shortly before this onset. If the diffusion of the phase variable is strong then phase synchronization and generalized synchronization, occur simultaneously, i.e., one of the positive Lyapunov exponents becomes negative, or generalized synchronization even sets in before phase synchronization. For intermediate diffusion the phase synchronization appears via interior crisis of the hyperchaotic set. Soft and hard transitions to phase synchronization are discussed.