64 citations · 390 across the 24 of their papers we have counts for
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Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model
Cris R. Hasan, Hinke M. Osinga, Claire M. Postlethwaite +1
We study a Rock-Paper-Scissors model for competing populations that exhibits travelling waves in one spatial dimension and spiral waves in two spatial dimensions. A characteristic…
A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock-Paper-Scissors
Claire M Postlethwaite, Alastair M Rucklidge
One of the simplest examples of a robust heteroclinic cycle involves three saddle equilibria: each one is unstable to the next in turn, and connections from one to the next occur w…
Spirals and heteroclinic cycles in a spatially extended Rock-Paper-Scissors model of cyclic dominance
C. M. Postlethwaite, A. M. Rucklidge
Spatially extended versions of the cyclic-dominance Rock-Paper-Scissors model have traveling wave (in one dimension) and spiral (in two dimensions) behavior. The far field of the s…
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…
Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation
Claire M. Postlethwaite, Mary Silber
Previous work has shown that Benjamin-Feir unstable traveling waves of the complex Ginzburg-Landau equation (CGLE) in two spatial dimensions cannot be stabilized using a particular…
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…