Hybrid Projective Synchronization of Different Fractional Order Hyperchaotic Systems

Abstract:

This paper investigated hybrid projective synchronization of fractional order hyperchaotic systems with different orders. Based on the idea of active control and the stability theory of linear fractional-order system, we design the effective controller to realize the hybrid projective synchronization. Numerical simulation results which are carried show that the method is easy to implement and reliable for synchronizing the two nonlinear fractional order hyperchaotic systems while it also allows both the systems to remain in hyperchaotic states.

• Periodical: Advanced Materials Research (Volumes 926-930)
• Pages: 3046-3049
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.926-930.3046
• Online since: May 2014
• Authors: Jin Ping Jia*, Fan Di Zhang
• Keywords: Active Control, Fractional-Order, Hybrid Projective Synchronization, Stability Theory

References

[1] L. Kocarev, U. Parlitz: Phys Rev Lett, Vol. 74 (1995), No. 50, pp.28-31.

[2] S.S. Yang, C.K. Duan: Chaos Soliton & Fractals, Vol. 9 (1998), No. 3, pp.1703-1707.

[3] M. G. Rosenblum, A. S. Pikovsky, J. Kurths: Phys Rev Lett, Vol. 30 (1997), No. 78, pp.4193-4196.

[4] M.F. Hu, Y.Q. Yang, Z.Y. Xu: Phys Lett A, Vol. 20 (2008), No. 372, pp.3228-3233.

[5] R. Mainieri, J. Pehacek: Phys. Rev. Lett, Vol. 82 (1999), No. 15, pp.3042-3045.