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Generating hyperchaotic multi-wing attractor in a 4D memristive circuit

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Abstract

It is very important to generate hyperchaotic attractor with more complicated dynamics for theoretical research and practical application. The paper proposes a novel method to generate hyperchaotic multi-wing attractor. By replacing the resistor in the circuit of modified Lü system with flux-controlled memristor respectively, this new memristive system can exhibit a hyperchaotic multi-wing attractor, and the values of two positive Lyapunov exponents are relatively large. The dynamical behaviors of the proposed system are analyzed by phase portrait, Lyapunov exponents, Poincaré maps, and bifurcation diagram. Moreover, the influences of memristor’s strength and position of replaced resistor are analyzed. To further probe the inherent features of the new memristive hyperchaotic system, the circuit implementation is carried out. The proposed method can be easily extended to the generalized Lorenz system family.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 61571185 and 61274020), the Open Fund Project of Key Laboratory in Hunan Universities (No. 15K027), and the Science and Technology Planned Project of YongZhou City.

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Authors and Affiliations

  1. College of Computer Science and Electronic Engineering, Hunan University, Changsha, 410082, China

    Ling Zhou, Chunhua Wang & Lili Zhou

  2. Department of Electronic and Information Engineering, Hunan University of Science and Engineering, Yongzhou, 425199, China

    Ling Zhou

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  1. Ling Zhou
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  2. Chunhua Wang
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  3. Lili Zhou
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Correspondence to Chunhua Wang.

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Zhou, L., Wang, C. & Zhou, L. Generating hyperchaotic multi-wing attractor in a 4D memristive circuit. Nonlinear Dyn 85, 2653–2663 (2016). https://doi.org/10.1007/s11071-016-2852-8

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  • DOI: https://doi.org/10.1007/s11071-016-2852-8

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