Competing interactions and traveling wave solutions in lattice differential equations
From MaRDI portal
Publication:906802
DOI10.3934/cpaa.2016.15.457zbMath1331.39005arXiv1210.7502OpenAlexW2962745877MaRDI QIDQ906802
Erik S. Van Vleck, Aijun Zhang
Publication date: 29 January 2016
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.7502
Reaction-diffusion equations (35K57) Discrete version of topics in analysis (39A12) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice functional-differential equations (34K31)
Related Items (3)
Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian ⋮ Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations ⋮ Propagation of Periodic Patterns in a Discrete System with Competing Interactions
Cites Work
- Unnamed Item
- Traveling waves in discrete periodic media for bistable dynamics
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Traveling waves in lattice dynamical systems
- The Fredholm alternative for functional-differential equations of mixed type
- The global structure of traveling waves in spatially discrete dynamical systems
- Functional differential equations of mixed type: The linear autonomous case
- Hopf bifurcation for functional differential equations of mixed type
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
- Analysis of Newton's method to compute travelling waves in discrete media
- Center manifold theory for functional differential equations of mixed type
- Negative Diffusion and Traveling Waves in High Dimensional Lattice Systems
- Traveling Pulse Solutions for the Discrete FitzHugh–Nagumo System
- Stability of Traveling Wavefronts for the Discrete Nagumo Equation
- Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
- Traveling Waves of Bistable Dynamics on a Lattice
- Exponential dichotomies for linear non-autonomous functional differential equations of mixed type
- Propagation of Periodic Patterns in a Discrete System with Competing Interactions
- Lin's method and homoclinic bifurcations for functional differential equations of mixed type
- Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model
This page was built for publication: Competing interactions and traveling wave solutions in lattice differential equations
