Tailoring wavelets for chaos control

作者:Wei GW*; Zhan M; Lai CH
来源:Physical Review Letters, 2002, 89(28): 284103.
DOI:10.1103/PhysRevLett.89.284103

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.

  • 出版日期2002-12-31