A Novel Four-Order Chaotic System with N-Attractor Multi-Direction Multi-Scroll Attractors

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Abstract:

In this paper, a novel four-order system is proposed. It can generate N-attractor multi-direction multi-scroll attractor by adding simple nonlinear functions. We analyze the new system by using means of maximum Lyapunov exponent, bifurcation diagram and Poincaré maps of the system. Moreover, an minimum operational amplifier circuit is designed for realizing 2×(3×3 ×3) scroll chaotic attractors, and experimental results are also obtained, which verify chaos characteristics of the system.

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81-88

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October 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] E. N. Lorenz. Atmos. Sci. 20(1963) 130.

Google Scholar

[2] T. Matsumoto, L. O. Chua and M. Komuro. IEEE Trans. CAS 32(1985) 798.

Google Scholar

[3] J. Suykens and J. Vandewalle . IEEE Trans. CAS2 I40(1993) 861.

Google Scholar

[4] M. E. Yalcin, J. Suykens and J. Vandewalle. IEEE Trans. CAS2 I 47(2000) 425.

Google Scholar

[5] K.S. Tang, G.Q. Zhong, G. Chen, and K.F. Man, IEEE Trans. Circuits Syst. I, 48(2001) 1369.

Google Scholar

[6] J. Lü, K. Murali, S. Sinha, H. Leung, and M.A. Aziz-Alaouie, Phys. Lett. A 372 (2008) 3234.

Google Scholar

[7] N. Singh, Mod. Phys. Lett. B 27(2013).

Google Scholar

[8] G.Q. Zhong, K.F. Man, G. Chen, Int. J. Bifur. Chaos 12 (2002) 2907.

Google Scholar

[9] M. E. Yalcin, J. A. K. Suykens, J. Vandewalle, and S. Ozoguz, Int. J. Bifurc. Chaos, 12(2002) 23.

Google Scholar

[10] F. Han, J. Lü, X. Yu, G. Chen, and Y. Feng, Dyn. Continuous, Discrete Impulsive Syst. Ser. B 12(2005) 95.

Google Scholar

[11] J. Lü, F. Han, X. Yu, and G. Chen, Automatica, 40(2004) 1677.

Google Scholar

[12] L. Yang, W. Pan, L. Yan, B. Luo, S. Xiang and N. Jiang, Mod. Phys. Lett. B 25(2013) (2067).

Google Scholar

[13] S. M. Yu, J. Lü, and G. Chen, IEEE Trans. Circuits Syst. I, 54(2007) (2082).

Google Scholar

[14] X.C. Zhang, S.M. Yu, Phys. Lett. A 374 (2010) 3029.

Google Scholar

[15] X. Wang, D. Lin, Z. Wang. Mod. Phys. Lett. B 23(2009) (2034).

Google Scholar