Control of Chaotic Behavior in Stochastic Forced Brusselator

The proportional plus-derivative control of chaotic system is concerned. Controller is firstly designed and then the controlled stochastic forced brusselator is transformed into its equivalent deterministic one by the Chebyshev polynomial approximation. Finally, the chaotic motions of forced brusselator can be successfully converted to the stable lower periodic orbits by proportional plus-derivative method. The numerical results of this paper show the effectiveness of this method.