Realization of generalized synchronization between different chaotic systems via scalar controller
Zhou Ping(周平)a) and Cao Yu-Xia(曹玉霞)b)
a Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; b Library of Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract In this paper, a very simple generalized synchronization method between different chaotic systems is presented. Only a scalar controller is used in this method. The method of obtaining the scalar controller from chaotic systems is established. The sufficient and necessary condition of generalized synchronization is obtained from a rigorous theory, and the sufficient and necessary condition of generalized synchronization is irrelative to chaotic system itself. Theoretical analyses and simulation results show that the method established in this paper is effective.
Received: 24 February 2007
Revised: 14 March 2007
Accepted manuscript online:
PACS:
05.45.Xt
(Synchronization; coupled oscillators)
Cite this article:
Zhou Ping(周平) and Cao Yu-Xia(曹玉霞) Realization of generalized synchronization between different chaotic systems via scalar controller 2007 Chinese Physics 16 2903
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