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Analogy circuit synthesis and dynamics confirmation of a bipolar pulse current-forced 2D Wilson neuron model

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Abstract

Neurons can exhibit abundant electrical activities in response to various externally applied stimuli, which can lay the groundwork for widening their use in neuron-based engineering applications. This paper presents the dynamical behaviors and analogy circuit-based confirmations in a bipolar pulse (BP) current-forced two-dimensional (2D) Wilson neuron model. Due to the existence of BP current, the proposed 2D neuron model has periodically switchable equilibrium states. The BP current-associated dynamical behaviors, including subthreshold oscillation (STO), periodic limit cycle, chaos, and antimonotonicity phenomenon, are numerically revealed by common dynamical analyses. Note that the electrical activity behaves a close dependence on the frequency of the externally applied BP current. Thereafter, an analog circuit is optimally synthesized to implement the 2D Wilson neuron model by utilizing the off-the-shelf discrete components, upon which the Multisim 12.0-based circuit simulations and hardware experiments are executed. It is revealed that the circuit-simulated and experimentally captured results well confirm the numerically simulated ones.

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Acknowledgements

This work was supported by the grants from the National Natural Science Foundations of China under Grant Nos. 61801054 and 51777016, the Natural Science Foundations of Jiangsu Province, China under Grant Nos. BK20160282 and BK20191451, and the Postgraduate Research and Practice Innovation Program of Jiangsu Province, China under Grant No. KYCX20_2547.

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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, Zhutao Ju, Chengtao Feng, Huagan Wu & Mo Chen

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  1. Quan Xu
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  2. Zhutao Ju
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  3. Chengtao Feng
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  4. Huagan Wu
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  5. Mo Chen
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Correspondence to Mo Chen.

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Xu, Q., Ju, Z., Feng, C. et al. Analogy circuit synthesis and dynamics confirmation of a bipolar pulse current-forced 2D Wilson neuron model. Eur. Phys. J. Spec. Top. 230, 1989–1997 (2021). https://doi.org/10.1140/epjs/s11734-021-00183-0

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