5 papers
Adaptive stochastic continuation with a modified lifting procedure applied to complex systems
Clemens Willers, Uwe Thiele, Andrew J. Archer +2
Many complex systems occurring in the natural or social sciences or economics are frequently described on a microscopic level, e.g., by lattice- or agent-based models. To analyze t…
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…
Existence of stationary fronts in a system of two coupled wave equations with spatial inhomogeneity
Jacob Brooks, Gianne Derks, David J. B. Lloyd
We investigate the existence of stationary fronts in a coupled system of two sine-Gordon equations with a smooth, "hat-like" spatial inhomogeneity. The spatial inhomogeneity corres…
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)…