Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control

doi:10.1007/s10483-012-1571-6

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (5): 567-582.doi: https://doi.org/10.1007/s10483-012-1571-6

Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control

何桂添, 罗懋康

Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China

收稿日期:2011-10-30 修回日期:2012-02-05 出版日期:2012-05-10 发布日期:2012-05-10
通讯作者: Mao-kang LUO, Professor, Ph.D., E-mail: makaluo@scu.edu.cn E-mail:makaluo@scu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11171238) and the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (No. IRTO0742)

Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control

Gui-tian HE, Mao-kang LUO

Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China

Received:2011-10-30 Revised:2012-02-05 Online:2012-05-10 Published:2012-05-10
Contact: Mao-kang LUO, Professor, Ph.D., E-mail: makaluo@scu.edu.cn E-mail:makaluo@scu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11171238) and the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China (No. IRTO0742)

摘要/Abstract

摘要：

With the increasingly deep studies in physics and technology, the dynamics of fractional order nonlinear systems and the synchronization of fractional order chaotic systems have become the focus in scientific research. In this paper, the dynamic behavior including the chaotic properties of fractional order Duffing systems is extensively investigated. With the stability criterion of linear fractional systems, the synchronization of a fractional non-autonomous system is obtained. Specifically, an effective singly active control is proposed and used to synchronize a fractional order Duffing system. The numerical results demonstrate the effectiveness of the proposed methods.

Abstract:

中图分类号:

何桂添;罗懋康. Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(5): 567-582.

Gui-tian HE;Mao-kang LUO. Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(5): 567-582.

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Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control

Dynamic behavior of fractional order Duffing chaotic system and its synchronization via singly active control

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