Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems

doi:10.1088/1674-1056/19/10/100507

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100507-100507.doi: 10.1088/1674-1056/19/10/100507

Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems

周平¹, 曹玉霞²

(1)Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chong; (2)Library of Chongqing University of Posts and Telecommunications, Chongqing 400065, China

收稿日期:2010-02-01 修回日期:2010-03-29 出版日期:2010-10-15 发布日期:2010-10-15

Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems

Zhou Ping(周平)^a)b)† and Cao Yu-Xia(曹玉霞)^c)

^a Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; ^b Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; ^c Library of Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received:2010-02-01 Revised:2010-03-29 Online:2010-10-15 Published:2010-10-15

摘要/Abstract

摘要： This paper investigates the function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems using the stability theory of fractional-order systems. The function projective synchronization between three-dimensional (3D) integer-order Lorenz chaotic system and 3D fractional-order Chen chaotic system are presented to demonstrate the effectiveness of the proposed scheme.

Abstract: This paper investigates the function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems using the stability theory of fractional-order systems. The function projective synchronization between three-dimensional (3D) integer-order Lorenz chaotic system and 3D fractional-order Chen chaotic system are presented to demonstrate the effectiveness of the proposed scheme.

Key words: fractional-order chaotic systems, chaotic systems of integer orders, function projective synchronization, stability theory of fractional-order systems

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

周平, 曹玉霞. Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems[J]. 中国物理B, 2010, 19(10): 100507-100507.

Zhou Ping(周平) and Cao Yu-Xia(曹玉霞). Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems[J]. Chin. Phys. B, 2010, 19(10): 100507-100507.

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Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems

Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems

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