Simple and multiple traveling waves in a reaction-diffusion-mechanics model

Cites Work

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Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system
Exchange lemmas 1: Deng's Lemma
Exchange lemmas 2: General exchange Lemma
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
Stability of fast travelling pulse solutions of the FitzHugh-Nagumo equations
The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
The approach of solutions of nonlinear diffusion equations to travelling front solutions
Dichotomies in stability theory
Exponential dichotomies and transversal homoclinic points
Singular perturbation of \(N\)-front travelling waves in the FitzHugh-Nagumo equations
Existence and stability of traveling pulses in a reaction-diffusion-mechanics system
Large stable pulse solutions in reaction-diffusion equations
The Bifurcation of Homoclinic and Periodic Orbits from Two Heteroclinic Orbits
Using Melnikov's method to solve Silnikov's problems
Stability Analysis for the Slow Travelling Pulse of the FitzHugh–Nagumo System
Electrical Waves in a One-Dimensional Model of Cardiac Tissue
Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
Exponential Dichotomies and Fredholm Operators
Averaging and Chaotic Motions in Forced Oscillations
The Bifurcations of Countable Connections from a Twisted Heteroclinic Loop
The Existence of Infinitely Many Traveling Front and Back Waves in the FitzHugh–Nagumo Equations
ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
Stability of Travelling Multiple-Front (Multiple-Back) Wave Solutions of the FitzHugh--Nagumo Equations
Stability of multiple-pulse solutions
Stability of N-Fronts Bifurcating from a Twisted Heteroclinic Loop and an Application to the Fitzhugh--Nagumo Equation
On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System
Unpeeling a Homoclinic Banana in the FitzHugh--Nagumo System
Introduction to Applied Nonlinear Dynamical Systems and Chaos
Pulse Replication and Accumulation of Eigenvalues
Opening the Maslov box for traveling waves in skew-gradient systems: counting eigenvales and proving (in)stability

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