Dynamic Behavior Analysis and Synchronization of Memristor-Coupled Heterogeneous Discrete Neural Networks

Minglin Ma (), Kangling Xiong, Zhijun Li and Yichuang Sun
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Minglin Ma: School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
Kangling Xiong: School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
Zhijun Li: School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
Yichuang Sun: School of Engineering and Technology, University of Hertfordshire, Hatfield AL10 9AB, UK

Mathematics, 2023, vol. 11, issue 2, 1-13

Abstract: Continuous memristors have been widely studied in recent years; however, there are few studies on discrete memristors in the field of neural networks. In this paper, a four-stable locally active discrete memristor (LADM) is proposed as a synapse, which is used to connect a two-dimensional Chialvo neuron and a three-dimensional KTZ neuron, and construct a simple heterogeneous discrete neural network (HDNN). Through a bifurcation diagram and Lyapunov exponents diagram, the period and chaotic regions of the discrete neural network model are shown. Through numerical analysis, it was found that the chaotic region and periodic region of the neural network based on DLAM are significantly improved. In addition, coexisting chaos and chaos attractors, coexisting periodic and chaotic attractors, and coexisting periodic and periodic attractors will appear when the initial value of the LADM is changed. Coupled by a LADM synapse, two heterogeneous discrete neurons are gradually synchronized by changing the coupling strength. This paper lays a good foundation for the future analysis of LADMs and the related research of discrete neural networks coupled by LADMs.

Keywords: LADM; HDNN; coexistence attractor; phase synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

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