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Dynamical analysis of HR–FN neuron model coupled by locally active hyperbolic memristor and DNA sequence encryption application

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Abstract

A hyperbolic type memristor with local activity which can generate the hysteresis loops with asymmetrical hysteresis is proposed. A HR–FN neuron model coupled by locally active hyperbolic memristor is built. Complex dynamical behaviours are investigated by numerical analysis for the designed neuron model, and its circuit implementation is verified. Moreover, an image encryption algorithm based on chaotic sequences and DNA sequence operations is proposed. Chaotic sequences are generated by the HR–FN neural coupling system. The experimental results verify that the algorithm has strong resistance to interference and corruption.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 62276239 and 62272424, in part by the Joint Funds of the National Natural Science Foundation of China under Grant U1804262, in part by Henan Province University Science and Technology Innovation Talent Support Plan under Grant 20HA STIT027, in part by Zhongyuan Thousand Talents Program under Grant 204200510003, in part by Zhongyuan Talents Program under Grant ZYYCYU202012154, and in part by Henan Natural Science Foundation-Outstanding Youth Foundation under Grant 222300420095.

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  1. School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China

    Junwei Sun, Yilin Yan, Yanfeng Wang & Jie Fang

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  1. Junwei Sun
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  2. Yilin Yan
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Correspondence to Junwei Sun.

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Sun, J., Yan, Y., Wang, Y. et al. Dynamical analysis of HR–FN neuron model coupled by locally active hyperbolic memristor and DNA sequence encryption application. Nonlinear Dyn 111, 3811–3829 (2023). https://doi.org/10.1007/s11071-022-08027-9

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  • DOI: https://doi.org/10.1007/s11071-022-08027-9

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