Detecting generalized synchronization between chaotic signals: a kernel-based approach
Detecting generalized synchronization between chaotic signals: a kernel-based approach
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DOI：
10.1088/0305-4470/39/34/009
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发表时间：
2006-08-25
期刊：
影响因子：
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通讯作者：
Aihara, Kazuyuki
中科院分区：
文献类型：
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作者：
Suetani, Hiromichi;Iba, Yukito;Aihara, Kazuyuki
提出了一种用于从数据分析耦合混沌系统中广义同步的统一框架。该方法的关键是使用机器学习领域最近开发的核方法。提出了几个成功的应用，显示了基于核的方法检测广义同步的能力，并且该方法可以捕获两个混沌系统之间耦合强度的动态变化。还讨论了如何从数据中适当选择内核参数。
A unified framework for analysing 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, and dynamical change of the coupling strength between two chaotic systems can be captured by the proposed approach. It is also discussed how the kernel parameter is suitably chosen from data.