Universality of crystallographic pinning
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Publication:5961948
DOI10.1007/s10884-010-9157-2zbMath1216.34009arXiv0811.0093OpenAlexW2005866841MaRDI QIDQ5961948
Aaron Hoffman, John Mallet-Paret
Publication date: 16 September 2010
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0811.0093
Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Ordinary lattice differential equations (34A33) Traveling wave solutions (35C07)
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Cites Work
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- Positive operators and elliptic eigenvalue problems
- On a class of infinite transition solutions for an Allen-Cahn model equation
- Minimal solutions of variational problems on a torus
- On minimal laminations of the torus
- Some threshold results for models of myelinated nerves
- The global structure of traveling waves in spatially discrete dynamical systems
- Propagating waves in discrete bistable reaction-diffusion systems
- Centre manifold reduction for quasilinear discrete systems
- Remarks on resolvent positive operators and their perturbation
- Propagation failure of traveling waves in a discrete bistable medium
- A discrete convolution model for phase transitions
- Analysis of Newton's method to compute travelling waves in discrete media
- Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
- Wave pinning in strips
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
- Analysis and computation of travelling wave solutions of bistable differential-difference equations
- PROPAGATION FAILURE IN LINEAR ARRAYS OF CHUA’S CIRCUITS
- Pulse Propagation in Discrete Systems of Coupled Excitable Cells
- An Infinite Dimensional Version of Sard's Theorem
- Universality of crystallographic pinning