Traveling pulses of coupled Fitzhugh-Nagumo equations with doubly-diffusive effect

DOI10.1016/j.jde.2023.07.027zbMath1526.35214MaRDI QIDQ6094881

Ke Wang, Zeng-Ji Du, Jiang Liu

Publication date: 11 October 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

exchange lemmageometric singular perturbation theorytraveling pulsessingular orbitsthree time scalescoupled FitzHugh-Nagumo equationslocal time delay

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Singular perturbations of ordinary differential equations (34D15) Traveling wave solutions (35C07)

Cites Work

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• Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system
• Multiple time scale dynamics
• Persistence of wavefronts in delayed nonlocal reaction-diffusion equations
• Diversity of traveling wave solutions in Fitzhugh-Nagumo type equations
• Geometric singular perturbation theory for ordinary differential equations
• Tracking invariant manifolds with differential forms in singularly perturbed systems
• Travelling wave solutions to a perturbed Korteweg-de Vries equation
• The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach
• Existence and stability of traveling pulses in a reaction-diffusion-mechanics system
• Mathematics of traveling waves in chemotaxis
• Traveling pulses in a coupled FitzHugh-Nagumo equation
• Traveling waves and their spectral stability in Keller-Segel system with large cell diffusion
• The dynamics of traveling waves for a nonlinear Belousov-Zhabotinskii system
• Spectral stability of smooth solitary waves for the Degasperis-Procesi equation
• Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach
• Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay
• Turning points and traveling waves in Fitzhugh--Nagumo type equations
• Traveling waves for the Fitzhugh-Nagumo system on an infinite channel
• Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation
• Traveling wave solutions of a singular Keller-Segel system with logistic source
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• Perturbation analysis of an approximation to the Hodgkin-Huxley theory
• On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System
• Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems
• An Optimal Control Problem of Nonlocal Pyragas Feedback Controllers for Convective FitzHugh--Nagumo Equations with Time-Delay
• Fenichel Theory for Multiple Time Scale Singular Perturbation Problems

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