62 citations · 134 across the 11 of their papers we have counts for
5 papers · 1 filter
Hexagon Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift-Hohenberg Equation
David J. B. Lloyd
Stationary fronts connecting the trivial state and a cellular (distorted) hexagonal pattern in the Swift-Hohenberg equation with a quadratic-cubic nonlinearity are known to undergo…
Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift-Hohenberg Equation
David J. B. Lloyd
In this paper, we carry out numerical bifurcation analysis of depinning of fronts near the homoclinic snaking region, involving a spatial stripe cellular pattern embedded in a quie…
Continuation and Bifurcation of Grain Boundaries in the Swift-Hohenberg Equation
David J. B. Lloyd, Arnd Scheel
We study grain boundaries between striped phases in the prototypical Swift-Hohenberg equation. We propose an analytical and numerical far-field-core decomposition that allows us to…
On the interaction of uni-directional and bi-directional buckling of a plate supported by an elastic foundation
M. Khurram Wadee, David J. B. Lloyd, Andrew P. Bassom
A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening)…
Homoclinic snaking near the surface instability of a polarizable fluid
David J. B. Lloyd, Christian Gollwitzer, Ingo Rehberg +1
We report on localized patches of cellular hexagons observed on the surface of a magnetic fluid in a vertical magnetic field. These patches are spontaneously generated by jumping i…