activity
20132023
most citedContinuation of localised coherent structures in nonlocal neural field equations

62 citations · 134 across the 11 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.DS2022★ 4 cited

Dihedral rings of patterns emerging from a Turing bifurcation

Dan J. Hill, Jason J. Bramburger, David J. B. Lloyd

Collective organisation of patterns into ring-like configurations has been well-studied when patterns are subject to either weak or semi-strong interactions. However, little is kno…

math.DS2022

Approximate localised dihedral patterns near a Turing instability

Dan J. Hill, Jason J. Bramburger, David J. B. Lloyd

Fully localised patterns involving cellular hexagons or squares have been found experimentally and numerically in various continuum models. However, there is currently no mathemati…