Anti-Synchronization of two Different Chaotic Systems via Active Control
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Anti-Synchronization of two Different Chaotic Systems via Active Control

Authors: Amir Abbas Emadzadeh, Mohammad Haeri

Abstract:

This paper presents anti-synchronization of chaos between two different chaotic systems using active control method. The proposed technique is applied to achieve chaos antisynchronization for the Lü and Rössler dynamical systems. Numerical simulations are implemented to verify the results.

Keywords: Active control, Anti-Synchronization, Chaos, Lü system, Rössler system.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1074601

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References:


[1] T.L. Carroll, L.M. Pecora, "Synchronization in chaotic systems", Physical. Review Letters, Vol. 64, pp. 821-824, 1990.
[2] Y. Zhang, J. Sun, "Chaotic synchronization and anti-synchronization based on suitable separation", Physics Letters A, Vol. 330, pp. 442-447, 2004.
[3] Ch-M et al., "Anti-synchronization of chaotic oscillators", Physics Letters A, Vol. 320, pp. 39-46, 2003.
[4] M. Bennett, M.F. Schatz, H. Rockwood, K. Wiesenfeld, "Huygens' clocks", Proc. R. Soc. London A, Vol. 458, pp. 563-579, 2002.
[5] J. Liu, C. Ye, S. Zhang, W. Song, "Anti-phase synchronization in coupled map lattices", Physics Letters A, Vol. 274, pp. 27-29, 2000.
[6] A. Uchida, Y. Liu, I. Fischer, P. Davis, T. Aida, "Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers", Physical Review. A, Vol. 64, 023801, 2001.
[7] S. Nakata, T. Miyata, N. Ojima, K. Yoshikawa, "Self-synchronization in coupled salt-water oscillators", Physica D, Vol. 115, pp. 313-320, 1998.
[8] L-Y. Cao, Y-Ch. Lai, "Antiphase synchronism in chaotic systems", Physical Review E, Vol. 58, No. 1, pp. 382-386, 1998.
[9] J. L├╝, G. Chen, S. Zhang, "Dynamical analysis of a new chaotic attractor", Int. J. Bifurcation Chaos, Vol. 12, pp. 1001, 2002.
[10] X. Yu, "Variable structure control approach for controlling chaos", Chaos Solitons and Fractals, Vol. 8, No. 9, pp. 1577-1586, 1997.