A specific state variable for a class of 3D continuous fractional-order chaotic systems

doi:10.1088/1674-1056/19/7/070507

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70507-070507.doi: 10.1088/1674-1056/19/7/070507

A specific state variable for a class of 3D continuous fractional-order chaotic systems

程元明¹, 邝菲¹, 周平²

(1)Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; (2)Key Laboratory of Network Control & 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, C

出版日期:2010-07-15 发布日期:2010-07-15

A specific state variable for a class of 3D continuous fractional-order chaotic systems

Zhou Ping(周平)^a)b)†, Cheng Yuan-Ming(程元明)^b), and Kuang Fei(邝菲)^b)

^a Key Laboratory of Network Control & 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

Online:2010-07-15 Published:2010-07-15

摘要/Abstract

摘要： A specific state variable in a class of 3D continuous fractional-order chaotic systems is presented. All state variables of fractional-order chaotic systems of this class can be obtained via a specific state variable and its (q-order and 2q-order) time derivatives. This idea is demonstrated by using several well-known fractional-order chaotic systems. Finally, a synchronization scheme is investigated for this fractional-order chaotic system via a specific state variable and its (q-order and 2q-order) time derivatives. Some examples are used to illustrate the effectiveness of the proposed synchronization method.

Abstract: A specific state variable in a class of 3D continuous fractional-order chaotic systems is presented. All state variables of fractional-order chaotic systems of this class can be obtained via a specific state variable and its (q-order and 2q-order) time derivatives. This idea is demonstrated by using several well-known fractional-order chaotic systems. Finally, a synchronization scheme is investigated for this fractional-order chaotic system via a specific state variable and its (q-order and 2q-order) time derivatives. Some examples are used to illustrate the effectiveness of the proposed synchronization method.

Key words: fractional-order chaotic systems, state variable, q-order and 2q-order time derivatives, chaotic synchronization

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Pq (Numerical simulations of chaotic systems) 02.30.Hq (Ordinary differential equations)

周平, 程元明, 邝菲. A specific state variable for a class of 3D continuous fractional-order chaotic systems[J]. 中国物理B, 2010, 19(7): 70507-070507.

Zhou Ping(周平), Cheng Yuan-Ming(程元明), and Kuang Fei(邝菲). A specific state variable for a class of 3D continuous fractional-order chaotic systems[J]. Chin. Phys. B, 2010, 19(7): 70507-070507.

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A specific state variable for a class of 3D continuous fractional-order chaotic systems

A specific state variable for a class of 3D continuous fractional-order chaotic systems

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