J4 ›› 2011, Vol. 29 ›› Issue (6): 571-575.

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Linear Synchronization for Lorenz Chaotic System

JIANG Yu-qiu   

  1. College of Mathematics,Jilin Normal University,Siping 136000,China
  • Online:2011-11-24 Published:2011-12-06

Abstract:

In order to solve the problem of synchronization of two Lorenz system with different initial value parameters,and the error system is divided into two subsystem.Based on the small gain theorem and linear feedback method,synchronization of a chaotic system called Lorenz chaotic system is studied.The sufficient conditions and range of the controller's parameter of Lorenz chaotic systems are derived.Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization.

Key words: chaotic synchronization, Lorenz chaotic system, the small gain th

CLC Number: 

  • TP301.5