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nlin.PS2009
Snaking and isolas of localized states in bistable discrete lattices
Christopher R. N. Taylor, Jonathan H. P. Dawes
We consider localized states in a discrete bistable Allen-Cahn equation. This model equation combines bistability and local cell-to-cell coupling in the simplest possible way. The…
nlin.PS2003
Instabilities induced by a weak breaking of a strong spatial resonance
J. H. P. Dawes, C. M. Postlethwaite, M. R. E. Proctor
Through multiple-scales and symmetry arguments we derive a model set of amplitude equations describing the interaction of two steady-state pattern-forming instabilities, in the cas…