Tailoring wavelets for chaos control

被引：49

作者：

Wei, GW ^{[1
]}

Zhan, M

Lai, CH

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] Natl Univ Singapore, Dept Computat Sci, Singapore 117543, Singapore

[3] Natl Univ Singapore, Dept Phys, Singapore 117543, Singapore

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 28期

关键词：

D O I：

10.1103/PhysRevLett.89.284103

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Chaos is a class of ubiquitous phenomena and controlling chaos is of great interest and importance. In this Letter, we introduce wavelet controlled dynamics as a new paradigm of dynamical control. We find that by modifying a tiny fraction of the wavelet subspaces of a coupling matrix, we could dramatically enhance the transverse stability of the synchronous manifold of a chaotic system. Wavelet controlled Hopf bifurcation from chaos is observed. Our approach provides a robust strategy for controlling chaos and other dynamical systems in nature.

引用

页数：4

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