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research-article

Dynamical analysis of coupled bidirectional FHN neuronal networks with multiple delays

[+] Author and Article Information
Xiaochen Mao

Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 211100, China
maochen@hhu.edu.cn

Xiangyu Zhou

Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 211100, China
1290613697@qq.com

Tiantian Shi

Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 211100, China
522617598@qq.com

Lei Qiao

Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 211100, China
1134322988@qq.com

1Corresponding author.

ASME doi:10.1115/1.4042998 History: Received June 16, 2018; Revised February 15, 2019

Abstract

Coupled neuronal networks have received considerable attention due to their important and extensive applications in science and engineering. This paper focuses on the nonlinear dynamics of delay-coupled bidirectional FitzHugh-Nagumo (FHN) neuronal networks through theoretical analysis, numerical computations, and circuit simulations. A variety of interesting dynamical behaviors of the network are explored, such as the coexistence of non-trivial equilibria and periodic solutions, different patterns of coexisting attractors, and even chaotic motions. An electronic circuit is designed and performed to validate the facticity of the complicated behaviors, such as multi-stability and chaotic attractors. It is shown that the circuit simulations reach an agreement with the obtained results.

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