Recursive Tangential-Angular Operator as Analyzer of Synchronized Chaos
Chaotic Dynamics
2011-08-30 v1 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.1108.5658,
title = {Recursive Tangential-Angular Operator as Analyzer of Synchronized Chaos},
author = {A. V. Makarenko},
journal= {arXiv preprint arXiv:1108.5658},
year = {2011}
}
Comments
7 pages, 5 figures, An expanded and corrected version of article published in: Technical Physics Letters, 2011, Vol. 37, No. 8, pp. 784-788