372 citations
- University of BristolGB7 papers
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10 papers · 1 filter
Snaking and isolas of localised states in bistable discrete lattices
Chris Taylor, Jonathan H. P. Dawes
We consider localised states in a discrete bistable Allen-Cahn equation. This model equation combines bistability and local cell-to-cell coupling in the simplest possible way. The…
The emergence of a coherent structure for coherent structures: localized states in nonlinear systems
Jonathan Dawes
Coherent structures emerge from the dynamics of many kinds of dissipative, externally driven, nonlinear systems, and continue to provoke new questions that challenge our physical a…
Design and Characterization of a Field-Switchable Nanomagnetic Atom Mirror
T. J. Hayward, A. D. West, K. J. Weatherill +9
We present a design for a switchable nanomagnetic atom mirror formed by an array of 180° domain walls confined within Ni80Fe20 planar nanowires. A simple analytical model is develo…
Monte Carlo cluster algorithm for fluid phase transitions in highly size-asymmetrical binary mixtures
Douglas J. Ashton, Jiwen Liu, Erik Luijten +1
Highly size-asymmetrical fluid mixtures arise in a variety of physical contexts, notably in suspensions of colloidal particles to which much smaller particles have been added in th…
Filtrations in abelian categories with a tilting object of homological dimension two
Bernt Tore Jensen, Dag Madsen, Xiuping Su
We consider filtrations of objects in an abelian category $\catA$ induced by a tilting object of homological dimension at most two. We define three disjoint subcategories with…
Automatic Music Composition using Answer Set Programming
Georg Boenn, Martin Brain, Marina De Vos +1
Music composition used to be a pen and paper activity. These these days music is often composed with the aid of computer software, even to the point where the computer compose part…