Existence and Stability of Multiple Impulse Solutions of a Nerve Equation
From MaRDI portal
Publication:3968790
DOI10.1137/0142017zbMath0502.92002OpenAlexW2042102840MaRDI QIDQ3968790
Publication date: 1982
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0142017
Nonlinear parabolic equations (35K55) Applications to the sciences (65Z05) Physiological, cellular and medical topics (92Cxx)
Related Items (28)
Anisotropy, propagation failure, and wave speedup in traveling waves of discretizations of a Nagumo PDE ⋮ Branching of double pulse solutions from single pulse solutions in nerve axon equations ⋮ Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation ⋮ Bifurcations of systems with structurally unstable homoclinic orbits and moduli of \(\Omega\)-equivalence ⋮ Attractors of impulsive dissipative semidynamical systems ⋮ A priori estimates for excitable models ⋮ Propagation failure of fronts in discrete inhomogeneous media with a sawtooth nonlinearity ⋮ EVANS FUNCTIONS AND BIFURCATIONS OF STANDING WAVE FRONTS OF A NONLINEAR SYSTEM OF REACTION DIFFUSION EQUATIONS ⋮ Traveling waves of infinitely many pulses in nerve equations ⋮ Weak almost periodic motions, minimality and stability in impulsive semidynamical systems ⋮ Homoclinic bifurcation at resonant eigenvalues ⋮ UNIFORM ATTRACTORS OF NONAUTONOMOUS DISCRETE REACTION–DIFFUSION SYSTEMS IN WEIGHTED SPACES ⋮ Heteroclinic waves of the FitzHugh-Nagumo equations ⋮ Travelling waves in a neural field model with refractoriness ⋮ Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation ⋮ On a stability property of double-pulse solutions in nerve axon equations ⋮ Evans functions and bifurcations of nonlinear waves of some nonlinear reaction diffusion equations ⋮ Stationary bistable pulses in discrete inhomogeneous media ⋮ Global mild solutions for a nonautonomous 2D Navier-Stokes equations with impulses at variable times ⋮ Impulses in driving semigroups of nonautonomous dynamical systems: application to cascade systems ⋮ NEURAL EXCITABILITY, SPIKING AND BURSTING ⋮ Separating dissipative pulses: the exit manifold ⋮ A COMPARATIVE STUDY OF THE HODGKIN–HUXLEY AND FITZHUGH–NAGUMO MODELS OF NEURON PULSE PROPAGATION ⋮ Traveling waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis ⋮ Unnamed Item ⋮ A spike train with a step change in the interspike intervals in the FitzHugh-Nagumo model ⋮ Homoclinic orbits in a parametrized saddle-focus system ⋮ Local and global behavior near homoclinic orbits
This page was built for publication: Existence and Stability of Multiple Impulse Solutions of a Nerve Equation