62 citations · 134 across the 11 of their papers we have counts for
4 papers · 1 filter
Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation
Mark D. Groves, David J. B. Lloyd, Athanasios Stylianou
We establish the existence of spatially localised one-dimensional free surfaces of a ferrofluid near onset of the Rosensweig instability, assuming a general (nonlinear) magnetisati…
A Web-based Tool for Identifying Strategic Intervention Points in Complex Systems
Sotiris Moschoyiannis, Nicholas Elia, Alexandra S. Penn +2
Steering a complex system towards a desired outcome is a challenging task. The lack of clarity on the system's exact architecture and the often scarce scientific data upon which to…
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)…