Codimension two bifurcation in a coupled FitzHugh-Nagumo system with multiple delays

DOI10.1016/j.chaos.2022.111824zbMath1506.34092OpenAlexW4210801871MaRDI QIDQ2677053

Chaouki Aouiti, Houssem Achouri, Bassem Ben Hamed

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111824

zbMATH Keywords

time delayBogdanov-Takens bifurcationcoupled FitzHugh-Nagumo system

Mathematics Subject Classification ID

Neural biology (92C20) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (2)

Spatiotemporal dynamics on a class of \((n+1)\)-dimensional reaction-diffusion neural networks with discrete delays and a conical structure ⋮ Dynamics of stochastic FitzHugh–Nagumo system on unbounded domains with memory

Cites Work

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• Bogdanov-Takens bifurcation in a tri-neuron BAM neural network model with multiple delays
• On the robust practical global stability of nonlinear time-varying systems
• FitzHugh-Nagumo equations with generalized diffusive coupling
• Oscillation patterns in tori of modified FHN neurons
• Hopf and Bogdanov-Takens bifurcations in a coupled FitzHugh-Nagumo neural system with delay
• Bifurcation structure of two coupled FHN neurons with delay
• Bifurcation analysis in a simplified tri-neuron BAM network model with multiple delays
• Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
• Stability switches and Hopf bifurcation in a coupled FitzHugh-Nagumo neural system with multiple delays
• Singularities of vector fields
• Bifurcation and chaos in discrete FitzHugh-Nagumo system
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Dynamics of a congestion control model in a wireless access network
• Stability of nonlinear time-varying perturbed differential equations
• Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
• FOLD–HOPF BIFURCATION ANALYSIS FOR A COUPLED FITZHUGH–NAGUMO NEURAL SYSTEM WITH TIME DELAY
• Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System
• Bogdanov–Takens Bifurcation in a Neutral Delayed Hopfield Neural Network with Bidirectional Connection
• Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays
• Complex oscillations in the delayed Fitzhugh-Nagumo equation
• Numerical bifurcation analysis of two coupled Fitzhugh-Nagumo oscillators

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