Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order

被引：1

作者：

Chai, Yi ^{[1
,2
]}

Chen, Liping ^{[1
,2
]}

Wu, Ranchao ^{[3
]}

机构：

[1] Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400030, Peoples R China

[2] Chongqing Univ, Sch Automat, Chongqing 400030, Peoples R China

[3] Anhui Univ, Sch Math, Hefei 230039, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

ANTI-SYNCHRONIZATION; CHAOS SYNCHRONIZATION; CALCULUS;

D O I：

10.1155/2012/762807

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system. By using the stability theory of fractional-order differential equations and Lyapunov equations for fractional-order systems, two kinds of suitable controllers for achieving inverse projective synchronization are designed, in which the generalized synchronization, antisynchronization, and projective synchronization of fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system are also successfully achieved, respectively. Finally, simulations are presented to demonstrate the validity and feasibility of the proposed method.

引用

页数：18

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