连续与离散耦合动力系统的部分同步

2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353) Pub Date : 2000-05-28 DOI:10.1109/ISCAS.2000.856102

I. Belykh, V. Belykh

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引用次数: 0

摘要

通过相应的微分方程和差分方程的线性不变流形，研究了扩散耦合动力系统的全局、部分和反相位同步效应。发现了流形的自相似行为和层次结构。用李雅普诺夫函数的方法证明了不变流形的稳定性。通过耦合罗斯勒系统的实例说明了理论结果。

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On partial synchronization of continuous and discrete-time coupled dynamical systems

The effects of global, partial and anti-phase synchronization of diffusively coupled dynamical systems are investigated via the linear invariant manifolds of the corresponding differential and difference equations. A selfsimilar behavior and a hierarchy of the manifolds are discovered. Stability of invariant manifolds is proved via the method of Lyapunov functions. Theoretical results are illustrated by examples of coupled Rossler systems.

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2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)

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