Control and Synchronization of Julia Sets in the Forced Brusselator Model

被引：9
|
作者：
Sun, Weihua [1 ]
Zhang, Yongping [1 ]
机构：
[1] Shandong Univ, Sch Math & Stat, Weihai 264209, Weihai, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2015年 / 25卷 / 09期
关键词：
Julia set; the forced Brusselator model; feedback control; synchronization;
D O I：
10.1142/S0218127415501138
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：12
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