Synchronization between two different chaotic systems with noise perturbation

doi:10.1088/1674-1056/19/7/070513

Abstract This paper investigates the chaotic synchronization between the noise-perturbed Lorenz system and one of the noise-perturbed Chen and Lü systems. Based on the active control method and the Lyapunov theory in stochastic differential equations, sufficient conditions for the stability of the error dynamics are derived. Numerical simulations are also shown to demonstrate the effectiveness of these theoretic results.

Keywords: chaotic synchronization noise

Received: 10 July 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	02.30.Yy	(Control theory)
	05.40.Ca	(Noise)
	05.45.Pq	(Numerical simulations of chaotic systems)
	02.30.Hq	(Ordinary differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10901145).

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Sun Yong-Zheng(孙永征) and Ruan Jiong(阮炯) Synchronization between two different chaotic systems with noise perturbation 2010 Chin. Phys. B 19 070513

[1]	Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
[2]	Jia Z, Lu J, Deng G and Zhang Q 2007 Chin. Phys. 16 1246
[3]	Feng C, Xu X, Wu Z and Wang Y 2008 Chin. Phys. B 17 1951
[4]	Zhang H, Ma T, Fu J and Tong S 2009 Chin. Phys. B 18 3742
[5]	Wang C, Ma J, Chu R and Li S 2009 Chin. Phys. B 18 3766
[6]	Huang J 2008 Nonlinear Analysis 69 4174
[7]	Meng J and Wang X 2008 Chaos 18 0231018
[8]	Chen M and Han Z 2003 Chaos, Solitons and Fractals 17 709
[9]	Zhang H, Ma T, Fu J and Tong S 2009 Chin. Phys. B 18 3751
[10]	Li W, Chen X and Shen Z 2008 Phys. A 387 3747
[11]	Chen H 2005 Chaos, Solitons and Fractals 25 1049
[12]	Yassen M T 2005 Chaos, Solitons and Fractals 23 131
[13]	Li G and Zhou S 2007 Chaos, Solitons and Fractals 32 516
[14]	Kazuyuki Y, Ingrida V and Peter D 2007 Phys. Rev. E 75 026208
[15]	Lin W and Chen G 2005 Chaos 16 013134
[16]	Chen Z, Lin W and Zhou J 2007 Chaos 17 023106
[17]	Lin W 2008 J. Phys. A 41 235101
[18]	Zhou J and Chen Z 2008 Phys. Lett. A 372 5394
[19]	Sun Y and Ruan J 2009 Chaos 19 043113
[20]	Sun Y and Ruan J 2008 Chin. Phys. B 17 4137
[21]	Lorenz E N 1963 J. Atmos. Sci. 20 130
[22]	Chen G and Ueta T 1999 Int. J. Bifurcat. Chaos 9 1465
[23]	L"u J and Chen G 2002 Int. J. Bifurcat. Chaos 12 659
[24]	Liao X X and Mao X R 1996 Stocha. Anal. Appl. 14 165
[25]	Horn R and Johnson C 1985 Matrix Analysis (New York: Cambridge University Press) p178 endfootnotesize

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