标题： 递归切向角算子作为同步混沌的分析器 显示英文标题

标题： Recursive Tangential-Angular Operator as Analyzer of Synchronized Chaos

摘要： 一种用于定量分析两个耦合振荡器中混沌振荡的同步程度和参数的方法被提出，这使得能够揭示吸引子结构的变化。 所提出的方法在两个单向耦合的逻辑映射模型系统上进行了测试。 结果表明，该方法对于低强度噪声和分析信号的非线性失真都具有鲁棒性。 研究了所考虑示例中受驱动子系统吸引子结构重新排列的特定特征。 显示英文摘要

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.