132 citations · 368 across the 13 of their papers we have counts for
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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.PS2009★ 17 cited
Resonance bifurcations from robust homoclinic cycles
Claire M Postlethwaite, Jonathan H P Dawes
We present two calculations for a class of robust homoclinic cycles with symmetry Z_n x Z_2^n, for which the sufficient conditions for asymptotic stability given by Krupa and Melbo…