Dynamics of delay-coupled FitzHugh-Nagumo neural rings

Xiaochen Mao; Jianqiao Sun; Shaofan Li

doi:10.1063/1.5000854

Dynamics of delay-coupled FitzHugh-Nagumo neural rings

Chaos. 2018 Jan;28(1):013104. doi: 10.1063/1.5000854.

Authors

Xiaochen Mao¹, Jianqiao Sun², Shaofan Li³

Affiliations

¹ Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, China.
² School of Engineering, University of California, Merced, California 95344, USA.
³ Department of Civil and Environmental Engineering, University of California, Berkeley, California 94720, USA.

PMID: 29390644
DOI: 10.1063/1.5000854

Abstract

This paper studies the dynamical behaviors of a pair of FitzHugh-Nagumo neural networks with bidirectional delayed couplings. It presents a detailed analysis of delay-independent and delay-dependent stabilities and the existence of bifurcated oscillations. Illustrative examples are performed to validate the analytical results and to discover interesting phenomena. It is shown that the network exhibits a variety of complicated activities, such as multiple stability switches, the coexistence of periodic and quasi-periodic oscillations, the coexistence of periodic and chaotic orbits, and the coexisting chaotic attractors.