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Multistability and coexisting attractors in a non-autonomous memristive Jerk circuit: numerical simulations and hardware measurements

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Abstract

Multistability has been rarely explored in non-autonomous memristive circuit. To involve this issue, a non-autonomous memristive Jerk circuit is proposed to disclose its generation of multistability in this paper. The proposed Jerk circuit contains a memristor with quadratic memductance and an externally applied stimulus. Due to the existence of externally applied stimulus, the circuit has a time-varying equilibrium point with its stability evolving over time. Then, the parameter-related dynamics distribution and bifurcation behaviors are disclosed by multiple numerical tools. It is found that imperfect bifurcation route emerges in the bifurcation diagrams. Then, multistabilities for four representative sets of system parameters near the imperfect bifurcations are explored by the local attraction basin and phase portrait. Afterwards, a PCB-based analog circuit is manually welded and experimental measurements are executed. The experimentally captured coexisting attractors verify the correctness of the numerical simulations.

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Acknowledgements

This work was supported by National Natural Science Foundations of China under Grant Nos. 12172066, 61801054, the Natural Science Foundations of Jiangsu Province, China under Grant No. BK20160282, and the Postgraduate Research and Practice Innovation Program of Jiangsu Province, China under Grant No. KYCX21_2824.

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Authors and Affiliations

  1. School of Microelectronics and Control Engineering, Changzhou University, Changzhou, 213164, People’s Republic of China

    Quan Xu, Sheng Cheng, Shoukui Ding, Bei Chen & Huagan Wu

Authors
  1. Quan Xu
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  2. Sheng Cheng
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  3. Shoukui Ding
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  4. Bei Chen
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  5. Huagan Wu
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The authors declare that each of the five authors equally contributed to both the scientific contents and writing of this manuscript.

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Correspondence to Huagan Wu.

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Xu, Q., Cheng, S., Ding, S. et al. Multistability and coexisting attractors in a non-autonomous memristive Jerk circuit: numerical simulations and hardware measurements. Eur. Phys. J. Spec. Top. 231, 3079–3086 (2022). https://doi.org/10.1140/epjs/s11734-022-00557-y

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