Studies on Variable Rate Pulse Feedback of Chaos System

A newmethod, variable rate pulse feedback (VRPF), is presented in order to control chaos in continuous nonlinear system. The selection technique of the feedback coefficients and the pulse interval is introduced. The method is applied, for example, to control the chaotic dynamical behaviors in the Belousov-Zhabotinsky (BZ) reaction systemofthe 3D model. The numerical results showthat the system can be stabilized at the different periodic orbits of 1p, 2p, 3p, 4p,…, 2n×3mp (n, mare integers) by appropriately selecting the feedback coefficients and the pulse interval, and the powerspectra ofthe systemcan also be changed fromthe continuous spectra in the chaotic state intothe discrete spectra having some separate single peaks. Besides, the VRPF method is of an extremelywide control region found from the computer simulation.