Synchronization in a unified fractional-order chaotic system

doi:10.1088/1009-1963/16/7/016

中国物理B ›› 2007, Vol. 16 ›› Issue (7): 1901-1907.doi: 10.1088/1009-1963/16/7/016

Synchronization in a unified fractional-order chaotic system

吴峥茂, 谢剑英

Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China

收稿日期:2006-08-07 修回日期:2007-01-23 出版日期:2007-07-04 发布日期:2007-07-04

Synchronization in a unified fractional-order chaotic system

Wu Zheng-Mao(吴峥茂)^† and Xie Jian-Ying(谢剑英)

Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China

Received:2006-08-07 Revised:2007-01-23 Online:2007-07-04 Published:2007-07-04

摘要/Abstract

摘要： In this paper, the synchronization in a unified fractional-order chaotic system is investigated by two methods. One is the frequency-domain method that is analysed by using the Laplace transform theory. The other is the time-domain method that is analysed by using the Lyapunov stability theory. Finally, the numerical simulations are used to illustrate the effectiveness of the proposed synchronization methods.

Abstract: In this paper, the synchronization in a unified fractional-order chaotic system is investigated by two methods. One is the frequency-domain method that is analysed by using the Laplace transform theory. The other is the time-domain method that is analysed by using the Lyapunov stability theory. Finally, the numerical simulations are used to illustrate the effectiveness of the proposed synchronization methods.

Key words: chaos, synchronization, fractional-order system, fractional calculus

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

02.30.Uu (Integral transforms) 02.60.Cb (Numerical simulation; solution of equations) 05.45.Pq (Numerical simulations of chaotic systems)

吴峥茂, 谢剑英. Synchronization in a unified fractional-order chaotic system[J]. 中国物理B, 2007, 16(7): 1901-1907.

Wu Zheng-Mao(吴峥茂) and Xie Jian-Ying(谢剑英). Synchronization in a unified fractional-order chaotic system[J]. Chinese Physics, 2007, 16(7): 1901-1907.

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Synchronization in a unified fractional-order chaotic system

Synchronization in a unified fractional-order chaotic system

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