Traveling Waves for Spatially Discrete Systems of FitzHugh--Nagumo Type with Periodic Coefficients

DOI10.1137/18M1204942zbMath1432.34084arXiv1808.00761OpenAlexW2969664568WikidataQ127348042 ScholiaQ127348042MaRDI QIDQ5231349

Hermen Jan Hupkes, Willem M. Schouten-Straatman

Publication date: 26 August 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00761

zbMATH Keywords

singular perturbationperiodic coefficientslattice differential equationsFitzHugh-Nagumo system

Mathematics Subject Classification ID

Boundary value problems for functional-differential equations (34K10) Singular perturbations of functional-differential equations (34K26) Ordinary lattice differential equations (34A33) Lattice functional-differential equations (34K31) Spectral theory of functional-differential operators (34K08)

Related Items (6)

Instability of small-amplitude periodic waves from fold-Hopf bifurcation ⋮ Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise ⋮ Travelling waves for adaptive grid discretizations of reaction diffusion systems. III: Nonlinear theory ⋮ Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations ⋮ Travelling wave solutions for fully discrete FitzHugh-Nagumo type equations with infinite-range interactions ⋮ Near-pulse solutions of the FitzHugh-Nagumo equations on cylindrical surfaces

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