Hopf bifurcations in a network of FitzHugh-Nagumo biological neurons

DOI10.1515/IJNSNS-2021-0188MaRDI QIDQ6173125

Igor Yu. Popov, É. G. Fedorov

Publication date: 21 July 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationFitzHugh-Nagumo systemtime-delayed coupling

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Dynamical systems and ergodic theory (37-XX)

Cites Work

• Stability, bifurcation, and synchronization of delay-coupled ring neural networks
• Stochastically perturbed Hopf bifurcation in an extended Volterra-Lotka system
• Stochastic analysis of a noisy oscillator
• Phase synchronization in two coupled chaotic neurons
• Type I vs. type II excitable systems with delayed coupling
• Local and global Hopf bifurcation analysis on simplified bidirectional associative memory neural networks with multiple delays
• Time-delayed feedback in neurosystems
• Singular Hopf Bifurcation to Relaxation Oscillations
• Multitype Activity Coexistence in an Inertial Two-Neuron System with Multiple Delays

This page was built for publication: Hopf bifurcations in a network of FitzHugh-Nagumo biological neurons