Adaptive synchronization of a critical chaotic system

doi:10.1088/1009-1963/14/9/011

Abstract

Abstract This paper further investigates the synchronization problem of a new chaotic system with known or unknown system parameters. Based on the Lyapunov stability theory, a novel adaptive control law is derived for the synchronization of a new chaotic system with known or unknown system parameters. Theoretical analysis and numerical simulations show the effectiveness and feasibility of the proposed schemes.

Keywords: adaptive synchronization a critical chaotic system Lyapunov stability theory Barbalat's lemma

Received: 10 December 2004
Revised: 18 May 2005
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	02.60.Cb	(Numerical simulation; solution of equations)

Fund: Project supported by the State Key Development Program for Basic Research of China (Grant No 2003CB415200).

Cite this article:

Tu Li-Lan (涂俐兰), Lu Jun-An (陆君安) Adaptive synchronization of a critical chaotic system 2005 Chinese Physics 14 1755

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