Fractal Dimension and Synchronization of the Controlled Julia Sets of a Reaction-Diffusion System.

This paper is concerned with the fractal dynamics of a reaction-diffusion system, - the forced Brusselator model. The Julia set of the discrete version of the model is established. Then, the control of the Julia set is realized by combining the parameter perturbation control method and feedback control method. The box-counting dimensions of the Julia sets of the controlled system for different control parameters are computed, which is used to describe the complexity and irregularity of the Julia sets. Finally, nonlinear coupling items are designed to make one Julia change to be another. The simulations illustrate the efficacy of these methods. [ABSTRACT FROM AUTHOR]