Synchronization and Anti-Synchronization of a New Hyperchaotic System Using Nonlinear Control
Keywords:Synchronization, Lyapunov Stability Theory, Nonlinear Active Control, Hyperchaotic System
Synchronization is characterized by the equality of state variables while evolving in time. Anti-synchronization is categorized by the disappearance of the sum of relevant variables. This paper has studied and investigated the global chaos identical Synchronization and Anti-Synchronization (AS) of a new hyperchaotic system via Nonlinear Control. The sufficient conditions for accomplishing the synchronization and AS of two identical hyperchaotic systems are derived based on Lypunov Stability Theory. Numerical simulations and graphs are furnished to show the effectiveness of our proposed approach. All simulations have been done by using mathematica 9.
. L. Pecora and T. Carroll, â€œSynchronization in Chaotic Systemsâ€, Phys. Rev. Lett. 64, pp. 821â€“ 823, 1990.
. M. Shahzad, & I. Ahmad, â€œExperimental study of synchronization and Anti-synchronization for spin orbit problem of Enceladusâ€, IJCSE, 3(2), pp. 41-47, 2013.
. U. E. Vincent, â€œSynchronization of Identical and Nonidentical 4-D chaotic systems using Active Controlâ€, Chaos, Solitons and Fractals, 37, pp. 1065-1075, 2008.
. Hsien- keng Chen, â€œGlobal chaos synchronization of new chaotic systems via non-linear controlâ€, Chaos, Solitons and Fractals, 23, pp. 1245-1251, 2005.
. M. Mossa, A. Fayaz, â€œNonlinear Anti-Synchronization of two Hyperchaotic systemsâ€, Applied mathematical Sciences, Vol. 5, No. 38, pp. 1849-1856, 2011.
. S. Vaidyanathan, â€œAnti-synchronization of hyperchaotic Bao and hyperchaotic XU systems via Active Controlâ€œ, International Journal of Computer Science, Engineering and Information Technology (IJCSEIT), 2 (3), 2012.
. S. Vaidyanathan, â€œActive Controller Design for the Hybrid Synchronization of Hyperchaotic Zheng and Hyperchaotic Yu systemsâ€, International Journal on Soft Computing, Artificial Intelligence and Applications (IJSCAI), 2 (2), 2013.
. L. Wen-Bo, W. K. S. Tang, C. Guan-Rong, â€œForming and Implementing a hyperchaotic system with rich dynamicsâ€, Chin. Phys. B, 20 (9), 2011.
. H. K. Khan, Non Linear dynamical Systems, (Prentice Hall, 3rd edition), NJ 07458, USA. 2002.
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