Orientation-dependent pinning and homoclinic snaking on a planar lattice

We study homoclinic snaking of one-dimensional, localized states on two-dimensional, bistable lattices via the method of exponential asymptotics. Within a narrow region of parameter space, fronts connecting the two stable states are pinned to the underlying lattice. Localized solutions are formed by...

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Bibliographic Details
Main Authors: Dean, Andrew David, Matthews, Paul C., Cox, Stephen M., King, John. R.
Format: Article
Published: Society for Industrial and Applied Mathematics 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/28656/