Projective Synchronization of Bidirectionally Coupled Chaotic Systems via Linear Transformations
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Abstract
Several important properties of chaos synchronization of bidirectionally coupled systems remain still unexplored. This paper designes a new projective synchronization scheme for generalized bidirectionally coupled chaotic systems via linear transformations.The proposed synchronization scheme of bidirectionally coupled chaotic systems are discussed taking coupled unified chaotic systems. Simulation results are presented to show the effectiveness of the proposed scheme.References
[1] L.M. Pecora and T.L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett., 64(1990) 821-824.
[2] Y. Zhang, Controlling uncertain Lu system using backstepping design, Chaos, Solitons and Fractals., 15(2003) 897-902.
[3] T. Yang, L-B. Yang, C-M. Yang, Impulsive control of Lorenz system, Physica D., 110(1997)18-24.
[4] Y. Song , Chaos synchronization via controlling partial state of chaotic systems, Int. J. Bifurcat. Chaos., 1(2001)1737.
[5] Chen Lu, Synchronization of an uncertain unified chaotic system via adaptive control, Chaos, Solitons and Fractals., 23(2005) 1319-1325.
View more references (12)
[6] MC Ho and YC Hung, Synchronization of two different systems by using generalized active control, Physics Letters A., 301(2002) 424-428.
[7] M.A. Khan and A.K.Mandal, Generalized chaos synchronization of coupled Rossler systems, Bull. Cal. Math. Soc., 101(2009)197-204.
[8] A. Tarai(Poria), S. Poria and P. Chatterjee , Synchronization of bidirectionally coupled chaotic Chen's system with delay, Chaos, Solitons and Fractals., 41(2009) 643-647.
[9] A. Tarai(Poria), S. Poria and P. Chatterjee , Synchronization of generalized linearly bidirectionally coupled unified system , Chaos, Solitons and Fractals., 40(2009) 885-892.
[10] M. Ronnie and R. Jan , Projective synchronization in three-dimensional chaotic systems, Phys. Rev. Lett., 82(1999) 3042-3045.
[11] Xu D and Li Z, Controlled projective synchronization in nonpartially-linear chaotic systems, Int. J. Bifurcat. Chaos.,12(2002) 1395-1402.
[12] Xu D, Chee C and Li C, A necessary condition of projective synchronization in discrete-time systems of arbitrary dimensions, Chaos Solitons and Fractals.,22(2004) 175-180.
[13] J. Yan and C. Li, Generalized projective synchronization of a unified chaotic system, Chaos Solitons and Fractals, 26(2005) 1119-1124.
[14] Guo-Hui Li, Generalized projective synchronization of two chaotic systems using active control, Chaos Solitons and Fractals., 30(2006)77-82.
[15] Hua Chen and Mei Sun, Generalized projective synchronization of the energy resource system, Int. J. of Nonlinear science., 2(2006)166-170.
[16] G Cai and S Zheng, Projective synchronization of a new chaotic system.- Journal of uncertain systems., 2(2007) 67-74.
[17] Lu and Wu, A unified chaotic system with continuous periodic switch, Chaos, Solitons and Fractals., 20(2004) 245-251.