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

doi:10.1088/1674-1056/aceee9

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.

Keywords: discrete memristor synaptic crosstalk coexisting attractor phase synchronization

Received: 01 July 2023
Revised: 23 July 2023
Accepted manuscript online: 10 August 2023

PACS:	87.19.lg	(Synapses: chemical and electrical (gap junctions))
	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)

Fund: 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).

Corresponding Authors: Minglin Ma
E-mail: minglin_ma@xtu.edu.cn

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Minglin Ma(马铭磷), Kangling Xiong(熊康灵), Zhijun Li(李志军), and Shaobo He(贺少波) Dynamical behavior of memristor-coupled heterogeneous discrete neural networks with synaptic crosstalk 2024 Chin. Phys. B 33 028706

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