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A discrete memristor model and its application in Hénon map

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  • Peng, Yuexi
  • Sun, Kehui
  • He, Shaobo

Abstract

The realization of real memristor makes it be a very popular topic in recent years. However, the topic about discrete memristor model is rarely discussed. In this paper, a discrete memristor model is proposed based on the difference theory, and the three fingerprints characteristics are proved for this model according to the definition of the generalized memristor. This discrete model is applied to Hénon map, and we designed a new chaotic map called the discrete memristor-based Hénon map. Its dynamical behaviors are analyzed by attractor phase diagram, bifurcation diagram, Lyapunov exponent spectrum, and spectral entropy complexity algorithm. Simulation results show the performance of Hénon map is improved by applying the discrete memristor.

Suggested Citation

  • Peng, Yuexi & Sun, Kehui & He, Shaobo, 2020. "A discrete memristor model and its application in Hénon map," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    • Handle: RePEc:eee:chsofr:v:137:y:2020:i:c:s0960077920302733
    DOI: 10.1016/j.chaos.2020.109873
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    References listed on IDEAS

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    13. Fan, Zhenyi & Zhang, Chenkai & Wang, Yiming & Du, Baoxiang, 2023. "Construction, dynamic analysis and DSP implementation of a novel 3D discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    14. Zhang, Shaohua & Zhang, Hongli & Wang, Cong, 2023. "Memristor initial-boosted extreme multistability in the novel dual-memristor hyperchaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
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