title: Tailoring wavelets for chaos control.
abstract: 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.
authors.affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, USA.
authors.forename: G W
authors.initials: GW
authors.lastname: Wei
authors.forename: Meng
authors.initials: M
authors.lastname: Zhan
authors.forename: C-H
authors.initials: CH
authors.lastname: Lai