中国物理B ›› 2011, Vol. 20 ›› Issue (4): 40507-040507.doi: 10.1088/1674-1056/20/4/040507

• GENERAL • 上一篇    下一篇

A new three-dimensional chaotic system and its modified generalized projective synchronization

戴浩, 贾立新, 惠萌, 司刚全   

  1. 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:2010-05-06 修回日期:2010-08-27 出版日期:2011-04-15 发布日期:2011-04-15

A new three-dimensional chaotic system and its modified generalized projective synchronization

Dai Hao(戴浩), Jia Li-Xin(贾立新), Hui Meng(惠萌), and Si Gang-Quan(司刚全)†   

  1. State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2010-05-06 Revised:2010-08-27 Online:2011-04-15 Published:2011-04-15

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摘要： Based on the Chen chaotic system, this paper constructs a new three-dimensional chaotic system with higher order nonlinear term and studies the basic dynamic behaviours of the system. The modified generalized projective synchronization has been observed in the coupled new three-dimensional chaotic system with unknown parameters. Furthermore, based on Lyapunov stability theory, it obtains the control laws and adaptive laws of parameters to make modified generalized projective synchronization of the coupled new three-dimensional chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method.

Abstract: Based on the Chen chaotic system, this paper constructs a new three-dimensional chaotic system with higher order nonlinear term and studies the basic dynamic behaviours of the system. The modified generalized projective synchronization has been observed in the coupled new three-dimensional chaotic system with unknown parameters. Furthermore, based on Lyapunov stability theory, it obtains the control laws and adaptive laws of parameters to make modified generalized projective synchronization of the coupled new three-dimensional chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method.

Key words: chaotic system, generalized projective synchronization, Lyapunov stability theory

中图分类号:  (Low-dimensional chaos)

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