The synchronization of a fractional order hyperchaotic system based on passive control

doi:10.1088/1674-1056/20/6/060505

中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60505-060505.doi: 10.1088/1674-1056/20/6/060505

The synchronization of a fractional order hyperchaotic system based on passive control

吴朝俊, 张彦斌, 杨宁宁

State Key Laboratory of Electrical Insulation and Power Equipment, Xián 710049, China;School of Electrical Engineering, Xián Jiaotong University, Xián 710049, China

收稿日期:2010-11-23 修回日期:2011-01-16 出版日期:2011-06-15 发布日期:2011-06-15

The synchronization of a fractional order hyperchaotic system based on passive control

Wu Chao-Jun(吴朝俊)^a)b)†, Zhang Yan-Bin(张彦斌)^a)b), and Yang Ning-Ning(杨宁宁)^a)b)

^aState Key Laboratory of Electrical Insulation and Power Equipment, Xi'an 710049, China; ^bSchool of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2010-11-23 Revised:2011-01-16 Online:2011-06-15 Published:2011-06-15

摘要/Abstract

摘要： This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is realized, on the basis of the stability theorem for fractional order systems. Numerical simulations and circuitry simulations are presented to verify the analytical results.

关键词: fractional order hyperchaos, passive control, numerical simulation, circuitry simulation

Abstract: This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is realized, on the basis of the stability theorem for fractional order systems. Numerical simulations and circuitry simulations are presented to verify the analytical results.

Key words: fractional order hyperchaos, passive control, numerical simulation, circuitry simulation

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Pq (Numerical simulations of chaotic systems)

吴朝俊, 张彦斌, 杨宁宁. The synchronization of a fractional order hyperchaotic system based on passive control[J]. 中国物理B, 2011, 20(6): 60505-060505.

Wu Chao-Jun(吴朝俊), Zhang Yan-Bin(张彦斌), and Yang Ning-Ning(杨宁宁). The synchronization of a fractional order hyperchaotic system based on passive control[J]. Chin. Phys. B, 2011, 20(6): 60505-060505.

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The synchronization of a fractional order hyperchaotic system based on passive control

The synchronization of a fractional order hyperchaotic system based on passive control

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