Different Synchronization schemes for chaotic Rikitake systems
Abstract
This paper presents the chaos synchronization by designing different type of controller. Firstly, we propose the synchronization of bi-directional coupled chaotic Rikitake systems via hybrid feedback control. Secondly we study the synchronization of unidirectionally coupled Rikitake systems using hybrid feedback control. Lastly, we investigate the synchronization of unidirectionally coupled Rikitake chaotic systems using tracking control. Comparing with all results finally we conclude that tracking control is more effective than feedback control. Simulation results are presented to show the efficiency of synchronization schemes.
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References
[1] E. Ott, C. Grebogi and J.A. Yorke, Controlling chaos, Phys. Rev.Lett., 64 (1990)1196-1199.
[2] L.M. Pecora and T.L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett., 64 (1990) 821-824.
[3] S. Chen and J. Lu, Synchronization of an uncertain unified chaotic system via adaptive control, Chaos, Solitons and Fractals, 14(2002) 643-647.
[4] J.H. Park, Controlling chaotic systems via nonlinear feedback control, Chaos, Solitons and Fractals, 23(2005) 1049-1054.
[5] A.M. Chen, J.N. Lu and J.H. Lii, Generating hyperchaotic Lu attractor via state feedback control, Physics A, 364(2006) 103-110.
View more references (5)
[6] Y. San and J. Cao, Adaptive synchronization between two different noise-perturbed chaotic system with fully unknown parameters, Physica A, 376(2007) 253-265.
[7] S. Poria and A. Tarai, Adaptive synchronization of two coupled chaotic Neuronal systems, Rev.Bull.Cal.Math.Soc., 15(2007)53-60.
[8] M. Khan, A.Mondal and S.Poria, Three control strategies for unified chaotic system, Int. J. of App. Mech. and Eng., 16(2011)597-608.
[9] 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.
[10] A. Tarai, S.Poria and P. Chatterjee, Synchronization of generalized linearly bidirectionally coupled unified system, Chaos Solitons and Fractals. 40 (2009) 885-892.