Predicting phase synchronization of non–phase-coherent chaos
Predicting phase synchronization of non–phase-coherent chaos
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DOI：
10.1209/0295-5075/83/50003
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发表时间：
2008-09
期刊：
影响因子：
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通讯作者：
Isao T. Tokuda;Jürgen Kurths;István Z. Kiss;John L. Hudson
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文献类型：
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作者：
Isao T. Tokuda;Jürgen Kurths;István Z. Kiss;John L. Hudson
提出了一种根据两个耦合混沌振荡器的测量数据重建相位同步现象的新方法。假设振荡器是非相位相干的，这使得同步分析极其困难。为了处理这种非相位相干系统，最近基于递归图的思想开发了 CPR 指数。本研究将非线性建模技术与 CPR 指数相结合，以恢复非相位相干振荡器的同步图。李亚普诺夫指数也用于定位同步的起始点。这允许在耦合强度的广泛参数空间中预测相位同步和非同步的状态，而无需进一步的实验。该技术的效率通过两个耦合罗斯勒振荡器的模拟数据以及电化学振荡器的实验数据得到了证明。
A new approach is presented for the reconstruction of phase synchronization phenomena from measurement data of two coupled chaotic oscillators. The oscillators are assumed to be non–phase-coherent, making the synchronization analysis extremely difficult. To deal with such non–phase-coherent systems, a CPR index has been recently developed based on the idea of recurrence plot. The present study combines a nonlinear modeling technique with the CPR index to recover the synchronization diagram of non–phase-coherent oscillators. Lyapunov exponents are also utilized to locate the onset point of synchronization. This allows the prediction of the regime of phase synchronization as well as non-synchronization in a broad parameter space of coupling strength without further experiments. The efficiency of this technique is demonstrated with simulated data from two coupled Rössler oscillators as well as with experimental data from electrochemical oscillators.