Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable

doi:10.1088/1674-1056/20/10/100506

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100506-100506.doi: 10.1088/1674-1056/20/10/100506

Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable

王兴元, 张永雷

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

收稿日期:2011-05-07 修回日期:2011-06-11 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Superior University Doctor Subject Special Scientific Research Foundation of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165).

Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable

Wang Xing-Yuan(王兴元)^† and Zhang Yong-Lei(张永雷)

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

Received:2011-05-07 Revised:2011-06-11 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Superior University Doctor Subject Special Scientific Research Foundation of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165).

摘要/Abstract

摘要： In this paper, the modified projective synchronization (MPS) of a fractional-order hyperchaotic system is investigated. We design the response system corresponding to the drive system on the basis of projective synchronization theory, and determine the sufficient condition for the synchronization of the drive system and the response system based on fractional-order stability theory. The MPS of a fractional-order hyperchaotic system is achieved by transmitting a single variable. This scheme reduces the information transmission in order to achieve the synchronization, and extends the applicable scope of MPS. Numerical simulations further demonstrate the feasibility and the effectiveness of the proposed scheme.

Abstract: In this paper, the modified projective synchronization (MPS) of a fractional-order hyperchaotic system is investigated. We design the response system corresponding to the drive system on the basis of projective synchronization theory, and determine the sufficient condition for the synchronization of the drive system and the response system based on fractional-order stability theory. The MPS of a fractional-order hyperchaotic system is achieved by transmitting a single variable. This scheme reduces the information transmission in order to achieve the synchronization, and extends the applicable scope of MPS. Numerical simulations further demonstrate the feasibility and the effectiveness of the proposed scheme.

Key words: modified projective synchronization, fractional-order hyperchaotic system, single driving variable

中图分类号: (High-dimensional chaos)

05.45.Jn

05.45.Xt (Synchronization; coupled oscillators)

王兴元, 张永雷. Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable[J]. 中国物理B, 2011, 20(10): 100506-100506.

Wang Xing-Yuan(王兴元) and Zhang Yong-Lei(张永雷) . Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable[J]. Chin. Phys. B, 2011, 20(10): 100506-100506.

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Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable

Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable

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