Homogenization and propagation in the bistable equation

DOI10.1016/S0167-2789(99)00151-7zbMath0939.34049OpenAlexW1985875536MaRDI QIDQ1961652

James P. Keener

Publication date: 5 July 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00151-7

zbMATH Keywords

homogenizationtraveling waveaveragingwave speedbistable equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items

Wave fronts in inhomogeneous neural field models, Continuum approach to discreteness, Invasion pinning in a periodically fragmented habitat, EFFECT OF NOISE AND STRUCTURAL INHOMOGENEITIES IN REACTION–DIFFUSION MEDIA, PROPAGATING INTERFACES IN A TWO-LAYER BISTABLE NEURAL NETWORK, Propagation failure reduction in a Nagumo chain, Stability of front solutions in inhomogeneous media, On some applications of diffusion processes for image processing, Existence of traveling wavefront solutions for the discrete Nagumo equation, Dynamics of one- and two-dimensional kinks in bistable reaction–diffusion equations with quasidiscrete sources of reaction, Heteroclinic contours and self-replicated solitary waves in a reaction-diffusion lattice with complex threshold excitation, Patch dynamics with buffers for homogenization problems, EXPERIMENTAL PROPAGATION FAILURE IN A NONLINEAR ELECTRICAL LATTICE, Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure, Propagation failure induced by coupling inhomogeneities in a nonlinear diffusive medium, Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice, Propagation failure, universal scalings and Goldstone modes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
• An example of bifurcation to homoclinic orbits
• Existence of traveling wavefront solutions for the discrete Nagumo equation
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Propagation failure of traveling waves in a discrete bistable medium
• Chaotic Behavior in Slowly Varying Systems of Nonlinear Differential Equations
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Analysis and computation of travelling wave solutions of bistable differential-difference equations
• Propagation of Waves in an Excitable Medium with Discrete Release Sites