Recursive Tangential-Angular Operator as Analyzer of Synchronized Chaos

Details Recursive Tangential-Angular Operator as Analyzer of Synchronized Chaos Recursive Tangential-Angular Operator as Analyzer of Synchronized Chaos

2011-08-29

arxiv.org/abs/1108.5658v1

Technical Physics Letters, 2011, Vol. 37, No. 8, pp. 784-788

Nonlinear Sciences

Chaotic Dynamics

7 pages, 5 figures, An expanded and corrected version of article published in: Technical Physics Letters, 2011, Vol. 37, No. 8

Scientific paper

10.1134/S1063785011080244

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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