Impulsive synchronisation of a class of fractional-order hyperchaotic systems

doi:10.1088/1674-1056/20/3/030506

中国物理B ›› 2011, Vol. 20 ›› Issue (3): 30506-030506.doi: 10.1088/1674-1056/20/3/030506

Impulsive synchronisation of a class of fractional-order hyperchaotic systems

王兴元, 张永雷, 林达, 张娜

Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China

收稿日期:2010-10-18 修回日期:2010-11-10 出版日期:2011-03-15 发布日期:2011-03-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of the Institution of Higher Education of China (Grant No. 20070141014) and the Natural Science Foundation of Liaonin

Impulsive synchronisation of a class of fractional-order hyperchaotic systems

Wang Xing-Yuan(王兴元)^†, Zhang Yong-Lei(张永雷), Lin Da(林达), and Zhang Na(张娜)

Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China

Received:2010-10-18 Revised:2010-11-10 Online:2011-03-15 Published:2011-03-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of the Institution of Higher Education of China (Grant No. 20070141014) and the Natural Science Foundation of Liaonin Province, China (No. 20082165).

摘要/Abstract

摘要： In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems' impulsive synchronisation are illustrated. Furthermore, we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems, thereby extending the applicable scope of impulsive synchronisation. Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme.

Abstract: In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems' impulsive synchronisation are illustrated. Furthermore, we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems, thereby extending the applicable scope of impulsive synchronisation. Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme.

Key words: hyperchaotic systems, fractional-order hyperchaotic systems, impulsive synchronization

中图分类号: (High-dimensional chaos)

05.45.Jn

05.45.Xt (Synchronization; coupled oscillators)

王兴元, 张永雷, 林达, 张娜. Impulsive synchronisation of a class of fractional-order hyperchaotic systems[J]. 中国物理B, 2011, 20(3): 30506-030506.

Wang Xing-Yuan(王兴元), Zhang Yong-Lei(张永雷), Lin Da(林达), and Zhang Na(张娜). Impulsive synchronisation of a class of fractional-order hyperchaotic systems[J]. Chin. Phys. B, 2011, 20(3): 30506-030506.

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Impulsive synchronisation of a class of fractional-order hyperchaotic systems

Impulsive synchronisation of a class of fractional-order hyperchaotic systems

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