Stability of N-Fronts Bifurcating from a Twisted Heteroclinic Loop and an Application to the Fitzhugh--Nagumo Equation
From MaRDI portal
Publication:4389010
DOI10.1137/S0036141096297388zbMath0914.34050OpenAlexW2032469836WikidataQ60143936 ScholiaQ60143936MaRDI QIDQ4389010
Publication date: 11 May 1998
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141096297388
Stability in context of PDEs (35B35) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (14)
A traveling wave bifurcation analysis of turbulent pipe flow ⋮ Existence of wavefronts and impulses to FitzHugh-Nagumo equations ⋮ Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis ⋮ Simple and multiple traveling waves in a reaction-diffusion-mechanics model ⋮ A Case Study of Multiple Wave Solutions in a Reaction-Diffusion System Using Invariant Manifolds and Global Bifurcations ⋮ Numerical bifurcation and stability analysis of solitary pulses in an excitable reaction-diffusion medium ⋮ Existence of standing pulse solutions to a skew-gradient system ⋮ On the stability of periodic travelling waves with large spatial period ⋮ Evans functions and bifurcations of nonlinear waves of some nonlinear reaction diffusion equations ⋮ Essential instability of pulses and bifurcations to modulated travelling waves ⋮ Turning points and traveling waves in Fitzhugh--Nagumo type equations ⋮ The accumulation of eigenvalues in a stability problem ⋮ Stability of traveling wave in a PDE approximation of coupled arrays of Chua's circuit ⋮ Singular perturbation of \(N\)-front travelling waves in the FitzHugh-Nagumo equations
This page was built for publication: Stability of N-Fronts Bifurcating from a Twisted Heteroclinic Loop and an Application to the Fitzhugh--Nagumo Equation
