A new four-dimensional hyperchaotic Chen system and its generalized synchronization

doi:10.1088/1674-1056/19/10/100501

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100501-100501.doi: 10.1088/1674-1056/19/10/100501

A new four-dimensional hyperchaotic Chen system and its generalized synchronization

贾立新, 戴浩, 惠萌

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, 710049, China

收稿日期:2010-04-06 修回日期:2010-04-27 出版日期:2010-10-15 发布日期:2010-10-15

A new four-dimensional hyperchaotic Chen system and its generalized synchronization

Jia Li-Xin(贾立新), Dai Hao(戴浩),^† and Hui Meng(惠萌)

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, 710049, China

Received:2010-04-06 Revised:2010-04-27 Online:2010-10-15 Published:2010-10-15

摘要/Abstract

摘要： Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh--Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method.

Abstract: Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh–Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method.

Key words: hyperchaotic Chen system, generalized synchronization, Lyapunov stability theory

中图分类号: (Control theory)

02.30.Yy

05.45.Pq (Numerical simulations of chaotic systems) 05.45.Xt (Synchronization; coupled oscillators)

贾立新, 戴浩, 惠萌. A new four-dimensional hyperchaotic Chen system and its generalized synchronization[J]. 中国物理B, 2010, 19(10): 100501-100501.

Jia Li-Xin(贾立新), Dai Hao(戴浩), and Hui Meng(惠萌). A new four-dimensional hyperchaotic Chen system and its generalized synchronization[J]. Chin. Phys. B, 2010, 19(10): 100501-100501.

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A new four-dimensional hyperchaotic Chen system and its generalized synchronization

A new four-dimensional hyperchaotic Chen system and its generalized synchronization

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