, Volume 87, Issue 3, pp 271-274
Date: 25 Nov 2012

Control and synchronization of Julia sets of complex standard family

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Abstract

The dynamical and fractal behaviors of a complex standard family \(z_{n+1}=z_n+\alpha+\beta\sin(z_n)\) are discussed in this paper. Then the feedback control method is taken on Julia sets of this system. Synchronization of Julia sets is also studied by use of the periodic impulsive method. The simulations illustrate the efficacy of these methods.