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Memristor-based time-delay chaotic system with hidden extreme multi-stability and pseudo-random sequence generator

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Abstract

At present, researchers only find that memristor-based time-delay (MBTD) chaotic systems have rich dynamic behaviors. However, there are still many difficulties in the analysis and application of the MBTD chaotic system. Therefore, a novel 3-D MBTD chaotic system with extreme multi-stability and line equilibrium points is proposed in this work. First, by applying dynamic analysis and numerical simulation, basic behaviors of the system are employed to illustrate the superiority of the system. Then, some special nonlinear phenomena are observed by two-parameter bifurcation diagrams, such as coexisting hidden attractors of both periodic and chaotic, coexisting multi-scroll hidden attractors, coexisting single-scroll hidden attractors and coexisting periodic attractors, which mean that hidden extreme multi-stability occurs. Moreover, the system which has good autocorrelation and cross-correlation is applied to generate the chaotic pseudo-random sequence. Finally, the approximate entropy of the chaotic pseudo-random sequence is larger than that of other time-delay chaotic systems. The above manifest that this MBTD chaotic system possesses abundant dynamics and good randomness. Hence this system owns latent force in the application of memristor.

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Acknowledgements

Project supported by the National Key R&D Program of China (Grant no. 2018YFB1306600), the National Natural Science Foundation of China (Grant nos. 62076207, 62076208, U20A20227).

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Authors and Affiliations

  1. School of Electronic Information Engineering, Southwest University, Chongqing, 400715, China

    Shuqi Sun, Dengwei Yan, Musha Ji’e, Xinyu Du & Lidan Wang

  2. School of Artificial Intelligence, Southwest University, Chongqing, 400715, China

    Shukai Duan

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  1. Shuqi Sun
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  2. Dengwei Yan
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  3. Musha Ji’e
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  4. Xinyu Du
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  5. Lidan Wang
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Correspondence to Lidan Wang.

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Sun, S., Yan, D., Ji’e, M. et al. Memristor-based time-delay chaotic system with hidden extreme multi-stability and pseudo-random sequence generator. Eur. Phys. J. Spec. Top. 230, 3481–3491 (2021). https://doi.org/10.1140/epjs/s11734-021-00248-0

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