Hopf bifurcation analysis in a synaptically coupled FHN neuron model with delays

DOI10.1016/J.CNSNS.2009.07.025zbMath1222.37097OpenAlexW2041472016MaRDI QIDQ720059

Ling Hong, Dejun Fan

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.07.025

zbMATH Keywords

periodic solutionstime delayHopf bifurcationstability switchFHN model

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Stability theory of functional-differential equations (34K20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18)

Related Items (16)

Complicated dynamics of a ring of nonidentical FitzHugh-Nagumo neurons with delayed couplings ⋮ Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point ⋮ Bifurcation structure of two coupled FHN neurons with delay ⋮ Stability and bifurcation analysis in the coupled HR neurons with delayed synaptic connection ⋮ Dynamic behaviors of a delayed HIV model with stage-structure ⋮ Global stability of coupled nonlinear systems with Markovian switching ⋮ Synchronization of Coupled FitzHugh–Nagumo Neurons Using Self-Feedback Time Delay ⋮ Existence and global exponential stability of periodic solutions for coupled control systems on networks with feedback and time delays ⋮ Dynamics of a nonstandard finite-difference scheme for delay differential equations with unimodal feedback ⋮ Dynamical behavior of simplified Fitzhugh-Nagumo neural system driven by Lévy noise and Gaussian white noise ⋮ Dynamical Behaviors in Coupled FitzHugh-Nagumo Neural Systems with Time Delays ⋮ Stability switches and Hopf bifurcation in a coupled FitzHugh-Nagumo neural system with multiple delays ⋮ Dynamical complexity of FitzHugh-Nagumo neuron model driven by Lévy noise and Gaussian white noise ⋮ Periodic oscillation analysis for a coupled FHN network model with delays ⋮ Bifurcation analysis on delay-induced bursting in a shape memory alloy oscillator with time delay feedback ⋮ Hopf and Bogdanov-Takens bifurcations in a coupled FitzHugh-Nagumo neural system with delay

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