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A Hyperchaotic System and its Synchronization via Scalar Controller

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Abstract:

In this paper, a 4D hyperchaotic system is proposed. Some basic dynamical behaviors are explored by calculating its Lyapunov exponents, Poincar´e mapping, etc.. Finally, synchronization for this new hyperchaotic system is achieved via scalar control. The nonlinear terms in the response system are not dropped. The proposed synchronization scheme is simple and theoretically rigorous. The mathematical proof of this method is provided. Some numerical simulations are obtained. The numerical simulations coincide with the theoretical analysis.

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Periodical:

Applied Mechanics and Materials (Volumes 50-51)

Pages:

254-257

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.50-51.254

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Cite this paper

Online since:

February 2011

Authors:

Wu Chun Dai, Zheng Fu Cheng

Keywords:

Hyperchaotic System, Lyapunov Exponent, Poincar'e Mapping, Synchronisation

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] D. Cafagna, G. Grassi: Int. J. Bifurcation Chaos Vol. 13(2003), p.2889.

Google Scholar

[2] K. Thamilmaran, M. Lakshmanan and A. Venkatesan: Int. J. Bifurcation Chaos Vol. 14 (2004), p.221.

Google Scholar

[3] Y. X. Li, W. K. S. Tang and G. R. Chen: Int. J. Circuits Theor. Appl Vol. 33 (2005), p.235.

Google Scholar

[4] C. D. Li, X. F. Liao and K. W. Wong: Chaos, Solitons & Fractals Vol. 23 (2005), p.183.

Google Scholar

[5] P. Zhou, X.H. Luo, H. Y.A. Chen: Acta Physica Sinica Vol. 54(2005), p.5048.

Google Scholar

[6] Y. X. Li, G. R. Chen and W. K. S. Tang: IEEE Trans. Circuits Systems II Vol. 52 (2005), p.204.

Google Scholar

[7] Z. Q. Chen, Y. Yang, G. Y. Qi and Z. Z. Yuan: Physics Letters A Vol. 360 (2007), p.696.

Google Scholar

[8] P. Zhou, X. F. Cheng, N.Y. Zhang: Chinese Physics Vol. 17 (2008), p.3252.

Google Scholar

[9] P. Zhou, L. J. Wei, X.F. Cheng: Chinese Physics B Vol. 18 (2009), p.2674.

Google Scholar

[10] P. Zhou, Y.X. Cao, X.F. Cheng: Chinese Physics B Vol. 18 (2009), p.1394.

Google Scholar

[11] P. Zhou, L. J. Wei, X.F. Cheng: Acta Physica Sinica Vol. 58 (2009), p.5201.

Google Scholar

[12] G. Y. Wang, X. Zhang, Y. Zheng and Y. X. Li: Physica A Vol. 371 (2006), p.260.

Google Scholar

[13] G. Perez, H. A. Cerdeira: Phys. Rev. Lett. Vol. 74(1995), p. (1970).

Google Scholar

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