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Complex dynamics in a discrete adaptive synapse-based neuron model

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Abstract

Discrete nonlinear systems usually have higher implementation efficiency than continuous nonlinear systems, but they can also exhibit dynamics diversity and chaos complex as continuous nonlinear systems. In this article, a two-dimensional (2D) discrete adaptive synapse-based neuron (DASN) model without external excitation is proposed using Euler’s discretization method. The proposed model has a complicated nonlinear activation function with upper and lower bounds, and its fixed points are not only variable in number, but also have different types of stability, resulting in the emergence of complex dynamics and multi-stability. Further, the dynamical effects of control parameters and initial values on the DASN model are explored using several numerical methods, and the complicated dynamical behaviors such as hyperchaos, chaos, quasi-period, period, stable point, quasi-periodic bifurcation, and period-doubling bifurcation are revealed thereby. Besides, a STM32-based hardware platform is exploited to digitally implement the DASN model and the unstable attractors are acquired experimentally to confirm the numerical ones.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical research work, so no additional data are associated with this work.]

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Funding

This work was supported by the grants from the National Natural Science Foundations of China under 62271088, 62201094, and 52277001, and the Scientific Research Foundation of Jiangsu Provincial Education Department, China, under Grant No. 22KJB510001.

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Authors and Affiliations

  1. School of Microelectronics and Control Engineering, Changzhou University, Changzhou, 213159, China

    Zhuowu Wang, Han Bao, Huagan Wu, Mo Chen & Bocheng Bao

Authors
  1. Zhuowu Wang
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  2. Han Bao
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  3. Huagan Wu
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Correspondence to Bocheng Bao.

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Wang, Z., Bao, H., Wu, H. et al. Complex dynamics in a discrete adaptive synapse-based neuron model. Eur. Phys. J. Plus 138, 545 (2023). https://doi.org/10.1140/epjp/s13360-023-04183-y

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