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Chin. Phys. B, 2010, Vol. 19(10): 100505    DOI: 10.1088/1674-1056/19/10/100505
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Anti-synchronization of a new hyperchaotic system via small-gain theorem

Xiao Jian(肖剑)
College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China
Abstract  Based on the small-gain theorem, the anti-synchronization between two identical new hyperchaotic systems is investigated, moreover, the general sufficient conditions to achieve anti-synchronization between the new hyperchaotic system and the new hyperchaotic Lorenz system are obtained via small-gain theorem. Numerical simulations are performed to verify and illustrate the analytical results.
Keywords:  hyperchaotic system      anti-synchronization      small-gain theorem  
Received:  08 February 2010      Revised:  25 April 2010      Accepted manuscript online: 
PACS:  02.60.Cb (Numerical simulation; solution of equations)  
  05.45.Pq (Numerical simulations of chaotic systems)  
  05.45.Xt (Synchronization; coupled oscillators)  
Fund: Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. CDJRC 10100001).

Cite this article: 

Xiao Jian(肖剑) Anti-synchronization of a new hyperchaotic system via small-gain theorem 2010 Chin. Phys. B 19 100505

[1] Rõssler O E 1979 Phys. Lett. A 71 155
[2] Li Y X, Chen G and Tang W K S 2005 IEEE Trans. Circuits Syst. 52 204
[3] Li Y X, Tang W K S and Chen G 2005 Int. J. Bifurc. Chaos 15 3367
[4] Zhou P, Wei L J and Cheng X F 2009 Chin. Phys. B 18 2674
[5] Hu J B, Han Y and Zhao L D 2009 Acta Phys. Sin. 58 1441 (in Chinese)
[6] Jia Q 2007 Phys. Lett. A 370 40
[7] Wang X Y and Meng J 2008 Acta Phys. Sin. 57 726 (in Chinese)
[8] Zhang H G, Ma T D, Fu J and Tong S C 2009 Chin. Phys. B 18 3751
[9] Cai N, Jing Y W and Zhang S Y 2009 Acta Phys. Sin. 58 802 (in Chinese)
[10] Wang Z L 2009 Commun. Nonlinear Sci. Numer. Simul. 14 2366
[11] El-Dessoky M M 2009 Chaos, Solitons and Fractals 39 1790
[12] Chen C H, Sheu L J, Chen H K, Chen J H, Wang H C, Chao Y C and Lin Y K 2009 Nonlinear Anal.: Real World Appl. 10 2088
[13] Tam L M, Meng W and Tou S 2008 Chaos, Solitons and Fractals 37 817
[14] Isidori A 1999 Nonlinear Control Systems (London: Springer-Verlag) Vol. 2 p. 15
[15] Jiang Z P, Mareels I M Y and Wang Y A 1996 Automatica 32 1211
[16] Jiang Z P 1994 Math. Control Signals Systems 7 95
[17] Jiang Z P and Mareels I M Y 1997 IEEE Trans. Automat. Control 42 292
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