Control and Synchronization of Julia Sets in the Forced Brusselator Model

Author:

Sun Weihua1,Zhang Yongping1

Affiliation:

1. School of Mathematics and Statistics, Shandong University, Weihai, Weihai 264209, P. R. China

Abstract

The forced Brusselator model is investigated from the fractal viewpoint. A Julia set of the discrete version of the Brusselator model is introduced and control of the Julia set is presented by using feedback control. In order to discuss the relations of two different Julia sets, a coupled item is designed to realize the synchronization of two Julia sets with different parameters, which provides a method to discuss the relation and the changing of two different Julia sets, one Julia set can be changed to be the other. Numerical simulations are used to verify the effectiveness of these methods.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

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