Edgardo Villar-Sepúlveda

Beyond-all-order asymptotics for homoclinic snaking of localised patterns in reaction-transport systems

Abstract Spatially localised stationary patterns of arbitrarily wide spatial extent emerge from subcritical Turing bifurcations in one-dimensional reaction-diffusion systems. They lie on characteristic bifurcation curves that oscillate around a Maxwell point as part of a homoclin...