Detecting Generalized Synchronization Between Chaotic Signals: A Kernel-based Approach
混沌动力学
2009-11-11 v2 统计力学
数据分析、统计与概率
摘要
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.
引用
@article{arxiv.nlin/0507006,
title = {Detecting Generalized Synchronization Between Chaotic Signals: A Kernel-based Approach},
author = {Hiromichi Suetani and Yukito Iba and Kazuyuki Aihara},
journal= {arXiv preprint arXiv:nlin/0507006},
year = {2009}
}
备注
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