Showing nlin.PSShow all
3 papers · 1 filter
nlin.PS2025★ 57 cited
Subcritical Turing bifurcation and the morphogenesis of localised patterns
Víctor Breña-Medina, Alan Champneys
Subcritical Turing bifurcations of reaction-diffusion systems in large domains lead to spontaneous onset of well-developed localised patterns via the homoclinic snaking mechanism.…
nlin.PS2022
Organization of spatially localized structures near a codimension-three cusp-Turing bifurcation
P. Parra-Rivas, A. R. Champneys, F. Al-Sahadi +2
A wide variety of stationary or moving spatially localized structures is present in evolution problems on unbounded domains, governed by higher-than-second-order reversible spatial…
nlin.PS2016
Effects of source and loss terms on the wave-pinning description of cell polarisation
Nicolas Verschueren, Alan Champneys
A system of two Schnakenberg-like reaction-diffusion equations is investigated analytically and numerically. The system has previously been used as a minimal model for concentratio…