Detecting generalized synchronization between chaotic signals: a kernel-based approach

書誌事項

公開日
2006-08-09
DOI
  • 10.1088/0305-4470/39/34/009
  • 10.48550/arxiv.nlin/0507006
公開者
IOP Publishing

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説明

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several successful applications are presented, which show the capability of the kernel-based approach for detecting generalized synchronization. It is also shown that the dynamical change of the coupling coefficient between two chaotic systems can be captured by the proposed approach.

20 pages, 15 figures. massively revised as a full paper; issues on the choice of parameters by cross validation, tests by surrogated data, etc. are added as well as additional examples and figures

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