131 citations · 534 across the 26 of their papers we have counts for
27 papers
Degenerate Turing bifurcation and the birth of localised patterns in activator-inhibitor systems
Edgardo Villar-Sepúlveda, Alan R. Champneys
Precise conditions are provided for the existence and criticality of Turing bifurcations in a general class of activator-inhibitor reaction-diffusion equations on a one-dimensional…
General conditions for Turing and wave instabilities in reaction-diffusion systems
Edgardo Villar-Sepúlveda, Alan R. Champneys
Necessary and sufficient conditions are provided for a diffusion-driven instability of a stable equilibrium of a reaction-diffusion system with components and a diagonal diffus…
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.…
From Snaking to Isolas: A One-Active-Site Approximation in Discrete Optical Cavities
R. Kusdiantara, H. Susanto, A. R. Champneys
We investigate time-independent solutions of a discrete optical cavity model featuring saturable Kerr nonlinearity, a discrete version of the Lugiato-Lefever equation. This model s…
Measurements and linearized models for golf ball bounce
Stanisław W. Biber, Kristian M. Jones, Alan R. Champneys +2
A detailed set of experiments are described that capture over a 1000 different instances of the bounce of a golf ball. Video analysis is used to capture velocity and spin immediate…
Analysis of point-contact models of the bounce of a hard spinning ball on a compliant frictional surface
Stanisław W. Biber, Alan R. Champneys, Robert Szalai
Inspired by the turf-ball interaction in golf, this paper seeks to understand the bounce of a ball that can be modelled as a rigid sphere and the surface as supplying an elasto-pla…