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The existence of two types of generalized synchronization of nonlinear systems

Xu Zhen-Yuan Guo Liu-Xiao

The existence of two types of generalized synchronization of nonlinear systems

Xu Zhen-Yuan, Guo Liu-Xiao
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  • Received Date:  30 September 2007
  • Accepted Date:  13 May 2008
  • Published Online:  20 October 2008

The existence of two types of generalized synchronization of nonlinear systems

  • 1. (1)江南大学理学院信息与计算科学系,无锡 214122; (2)江南大学理学院信息与计算科学系,无锡 214122;江南大学信息与工程学院,无锡 214122

Abstract: The existence of two types of generalized synchronization of chaotic nonlinear systems is studied. When the modified system collapses to a stable equilibrium or periodic oscillation, the existence of generalized synchronization can be converted to the problem of compression fixed point under certain conditions. Strict theoretical proofs are given to the exponential attractive property of generalized synchronization manifold. Numerical simulations illustrate the correctness of the present theory.

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