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A new locally active memristor and its chaotic system with infinite nested coexisting attractors

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Abstract

In this paper, we propose a new nonvolatile locally active memristor based on Chua’s unfolding theorem. The power-off plot confirms nonvolatility of the memristor, and then the DC V–I diagram demonstrates its local activity. By using the small signal analysis method, we derive the memristive equivalent circuit, which can be used for dynamical studies near the operating points in locally active regions. After that, a new memristive chaotic system is designed. It is found that the system can produce infinite nested coexisting attractors and transient dynamical behaviors. Finally, analog circuit experiments further confirm the validity of the research.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Authors and Affiliations

  1. Engineering Research Centre of Gansu Province for Intelligent Information Technology and Application, Lanzhou, 730070, Gansu, People’s Republic of China

    Shaohui Yan

  2. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, 730070, People’s Republic of China

    Shaohui Yan, Yuyan Zhang, Yu Ren, Xi Sun, Yu Cui & Lin Li

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  1. Shaohui Yan
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Yan, S., Zhang, Y., Ren, Y. et al. A new locally active memristor and its chaotic system with infinite nested coexisting attractors. Nonlinear Dyn 111, 17547–17560 (2023). https://doi.org/10.1007/s11071-023-08731-0

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