Synchronization Between Two Chaotic Systems: Numerical and Circuit Simulation
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
Synchronization Between Two Chaotic Systems: Numerical and Circuit Simulation

Authors: J. H. Park, T. H. Lee, S. M. Lee, H. Y. Jung

Abstract:

In this paper, a generalized synchronization scheme, which is called function synchronization, for chaotic systems is studied. Based on Lyapunov method and active control method, we design the synchronization controller for the system such that the error dynamics between master and slave chaotic systems is asymptotically stable. For verification of our theory, computer and circuit simulations for a specific chaotic system is conducted.

Keywords: Chaotic systems, synchronization, Lyapunov method, simulation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060345

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1690

References:


[1] L.M. Pecora, T.L. Carroll, Phys, Rev, Lett. 64 (1990) 821-824.
[2] J.H. Park, Chaos Solitons Fractals 34 (2007) 1154.
[3] J.H. Park, O.M. Kwon, Chaos Solitons Fractals 23 (2005) 445.
[4] J. Lu, X. Wu, J. L¨u, Phys Lett A 305 (2002) 365.
[5] J. L¨u, T. Zhou, S. Zhang, Chaos Solitons Fractals 14 (2002) 529.
[6] J. L¨u, X. Yu, G. Chen, Physica A 334 (2004) 281.
[7] M.T. Yassen, Physics Letters A 350 (2006) 36.
[8] J.H. Park, O.M. Kwon, Modern Physics Letters B 23 (2009) 35.
[9] X. Wu, J. Lu, Chaos Solitons Fractals 18 (2003) 721.
[10] D. Li, J.A. Lu, X. Wu, Chaos Solitons Fractals 23 (2005) 79.
[11] U.E. Vincent, Phys Lett A 343 (2005) 133.
[12] J.H. Park, Chaos Solitons Fractals 27 (2006) 549.
[13] J.H. Park, Chaos Solitons Fractals 27 (2006) 357.
[14] M.G. Rosenblum, A.S. Pikovsky, J, Kurths, Phys. Rev. Lett 76 (1996) 1804.
[15] M.G. Rosenblum, A.S. Pikovsky, J, Kurths, Phys. Rev. Lett 78 (1997) 4193.
[16] S. Boccaletti, D.L. Valladares, Phys. Rev. E 62 (2000) 7497.
[17] A.E. Hramov, A.A. Koronovsii, Chaos 14 (2004) 603.
[18] A.E. Hramov, A.A. Koronovsii, Europhys. Lett. 72 (6) (2005) 901.
[19] R. Mainieri, J. Rehacek, Phys. Rev. Lett. 82 (1999) 304.
[20] J.H. Park, Chaos, Solitons Fractals, 34 (2007) 1154.
[21] J.H. Park, D.H. Ji, S.C. Won, and S.M. Lee, Modern Physics Letters B 23 (2009) 1157.
[22] J.H. Park, Chaos Solitons Fractals 25 (2005) 333.
[23] Y. Chen, H. An, Z. Li, Appl. Math. Comput. 197 (2008) 96.
[24] L. Runzi, Phys Lett A 372 (2008) 3667.
[25] K.M.Cuomo, A.V.Oppenheim, S.H.Strogatz, IEEE Trans Cir Syst-II 40 (1993) 626-633.
[26] T. Gao, G. Chen, Z. Chen, S. Cang, Phys Lett A 361 (2007) 78-86.
[27] K.M.Cuomo, A.V.Oppenheim, phys rev lett 71 (1993) 65-68.