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Implementation of a new memristor-based multiscroll hyperchaotic system

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Abstract

In this paper, a new type of flux-controlled memristor model with fifth-order flux polynomials is presented. An equivalent circuit which realizes the action of higher-order flux-controlled memristor is also proposed. We use the memristor model to establish a memristor-based four-dimensional (4D) chaotic system, which can generate three-scroll chaotic attractor. By adjusting the system parameters, the proposed chaotic system performs hyperchaos. Phase portraits, Lyapunov exponents, bifurcation diagram, equilibrium points and stability analysis have been used to research the basic dynamics of this chaotic system. The consistency of circuit implementation and numerical simulation verifies the effectiveness of the system design.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 61571185), the Natural Science Foundation of Hunan Province, China (No. 2016JJ2030) and the Open Fund Project of Key Laboratory in Hunan Universities (No. 15K027).

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Authors and Affiliations

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

    CHUNHUA WANG, HU XIA & LING ZHOU

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  1. CHUNHUA WANG
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  2. HU XIA
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  3. LING ZHOU
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Correspondence to HU XIA.

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WANG, C., XIA, H. & ZHOU, L. Implementation of a new memristor-based multiscroll hyperchaotic system. Pramana - J Phys 88, 34 (2017). https://doi.org/10.1007/s12043-016-1342-3

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  • DOI: https://doi.org/10.1007/s12043-016-1342-3

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