Hopf and Bogdanov-Takens bifurcations in a coupled FitzHugh-Nagumo neural system with delay

DOI10.1007/S11071-010-9881-5zbMath1250.34053OpenAlexW1977453096MaRDI QIDQ763602

Weihua Jiang, Yanqiu Li

Publication date: 29 March 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9881-5

zbMATH Keywords

time delayHopf bifurcationnormal formBogdanov-Takens bifurcationFitzHugh-Nagumo neural model

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Bifurcation theory of functional-differential equations (34K18)

Related Items (9)

A novel approach to synchronization of nonlinearly coupled network systems with delays ⋮ Dynamics of delay-coupled FitzHugh-Nagumo neural rings ⋮ Complicated dynamics of a ring of nonidentical FitzHugh-Nagumo neurons with delayed couplings ⋮ Dynamic behaviors of the FitzHugh-Nagumo neuron model with state-dependent impulsive effects ⋮ Codimension two bifurcation in a coupled FitzHugh-Nagumo system with multiple delays ⋮ Bifurcation structure of two coupled FHN neurons with delay ⋮ 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 ⋮ Hopf-pitchfork bifurcation in a two-neuron system with discrete and distributed delays

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