中国物理B ›› 2024, Vol. 33 ›› Issue (2): 28706-028706.doi: 10.1088/1674-1056/aceee9

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Dynamical behavior of memristor-coupled heterogeneous discrete neural networks with synaptic crosstalk

Minglin Ma(马铭磷)†, Kangling Xiong(熊康灵), Zhijun Li(李志军), and Shaobo He(贺少波)   

  1. School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
  • 收稿日期:2023-07-01 修回日期:2023-07-23 接受日期:2023-08-10 出版日期:2024-01-16 发布日期:2024-01-16
  • 通讯作者: Minglin Ma E-mail:minglin_ma@xtu.edu.cn
  • 基金资助:
    Project supported by the Key Projects of Hunan Provincial Department of Education (Grant No. 23A0133), the Natural Science Foundation of Hunan Province (Grant No. 2022JJ30572), and the National Natural Science Foundations of China (Grant No. 62171401).

Dynamical behavior of memristor-coupled heterogeneous discrete neural networks with synaptic crosstalk

Minglin Ma(马铭磷)†, Kangling Xiong(熊康灵), Zhijun Li(李志军), and Shaobo He(贺少波)   

  1. School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
  • Received:2023-07-01 Revised:2023-07-23 Accepted:2023-08-10 Online:2024-01-16 Published:2024-01-16
  • Contact: Minglin Ma E-mail:minglin_ma@xtu.edu.cn
  • Supported by:
    Project supported by the Key Projects of Hunan Provincial Department of Education (Grant No. 23A0133), the Natural Science Foundation of Hunan Province (Grant No. 2022JJ30572), and the National Natural Science Foundations of China (Grant No. 62171401).

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摘要： Synaptic crosstalk is a prevalent phenomenon among neuronal synapses, playing a crucial role in the transmission of neural signals. Therefore, considering synaptic crosstalk behavior and investigating the dynamical behavior of discrete neural networks are highly necessary. In this paper, we propose a heterogeneous discrete neural network (HDNN) consisting of a three-dimensional KTz discrete neuron and a Chialvo discrete neuron. These two neurons are coupled mutually by two discrete memristors and the synaptic crosstalk is considered. The impact of crosstalk strength on the firing behavior of the HDNN is explored through bifurcation diagrams and Lyapunov exponents. It is observed that the HDNN exhibits different coexisting attractors under varying crosstalk strengths. Furthermore, the influence of different crosstalk strengths on the synchronized firing of the HDNN is investigated, revealing a gradual attainment of phase synchronization between the two discrete neurons as the crosstalk strength decreases.

关键词: discrete memristor, synaptic crosstalk, coexisting attractor, phase synchronization

Abstract: Synaptic crosstalk is a prevalent phenomenon among neuronal synapses, playing a crucial role in the transmission of neural signals. Therefore, considering synaptic crosstalk behavior and investigating the dynamical behavior of discrete neural networks are highly necessary. In this paper, we propose a heterogeneous discrete neural network (HDNN) consisting of a three-dimensional KTz discrete neuron and a Chialvo discrete neuron. These two neurons are coupled mutually by two discrete memristors and the synaptic crosstalk is considered. The impact of crosstalk strength on the firing behavior of the HDNN is explored through bifurcation diagrams and Lyapunov exponents. It is observed that the HDNN exhibits different coexisting attractors under varying crosstalk strengths. Furthermore, the influence of different crosstalk strengths on the synchronized firing of the HDNN is investigated, revealing a gradual attainment of phase synchronization between the two discrete neurons as the crosstalk strength decreases.

Key words: discrete memristor, synaptic crosstalk, coexisting attractor, phase synchronization

中图分类号:  (Synapses: chemical and electrical (gap junctions))

  • 87.19.lg
87.19.lj (Neuronal network dynamics) 87.19.lm (Synchronization in the nervous system) 45.05.+x (General theory of classical mechanics of discrete systems)