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

doi:10.1088/1674-1056/20/4/040507

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.

Keywords: chaotic system generalized projective synchronization Lyapunov stability theory

Received: 06 May 2010
Revised: 27 August 2010
Accepted manuscript online:

PACS:	05.45.Ac	(Low-dimensional chaos)
	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)

Cite this article:

Dai Hao(戴浩), Jia Li-Xin(贾立新), Hui Meng(惠萌), and Si Gang-Quan(司刚全) A new three-dimensional chaotic system and its modified generalized projective synchronization 2011 Chin. Phys. B 20 040507

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