Open AccessDelay-induced instability and oscillations in a multiplex neural system with Fitzhugh-Nagumo networks
Author(s) -
Wenchao Ding,
Xiaochen Mao,
Lei Qiao,
Mingjie Guan,
M. Shao
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022057
Subject(s) - soma , instability , chaotic , bifurcation , physics , neuron , nonlinear system , artificial neural network , neuroscience , control theory (sociology) , computer science , biological system , topology (electrical circuits) , mathematics , biology , mechanics , artificial intelligence , combinatorics , control (management) , quantum mechanics
In this paper, we study the nonlinear dynamics of a multiplex system consisting of neuronal networks each with an arbitrary number of FitzHugh-Nagumo neurons and intra-connections and delayed couplings. The network contains an autaptic connection formed by the axon of a neuron on its own soma or dendrites. The stability and instability of the network are determined and the existence of bifurcation is discussed. Then, the study turns to validate the theoretical analysis through numerical simulations. Abundant dynamical phenomena of the network are explored, such as coexisting multi-period oscillations and chaotic responses.