递归切角算子作为同步混沌分析器
Recursive Tangential-Angular Operator as Analyzer of Synchronized Chaos
摘要：
本文提出了一种定量分析两个耦合振子中混沌振动同步程度和同步参数的方法，从而揭示了吸引子结构的变化。所提出的方法进行了测试的模型系统的两个单向耦合的Logistic映射。结果表明，该方法是鲁棒性相对于低强度噪声和非线性失真的分析信号的存在。在考虑的例子中的驱动子系统的吸引子的重新排列的结构的具体特征进行了研究。
英文摘要：
A method for the quantitative analysis of the degree and parameters of synchronization of the chaotic oscillations in two coupled oscillators is proposed, which makes it possible to reveal a change in the structure of attractors. The proposed method is tested on a model system of two unidirectionally coupled logistic maps. It is shown that the method is robust with respect to both the presence of a low-intensity noise and a nonlinear distortion of the analyzed signal. Specific features of a rearranged structure of the attractor of a driven subsystem in the example under consideration have been studied.
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