• Corpus ID: 247518944

Approximate localised dihedral patterns near a Turing instability

  title={Approximate localised dihedral patterns near a Turing instability},
  author={Dan J. Hill and Jason J. Bramburger and 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 mathematical theory for the emergence of these localised cellular patterns from a quiescent state. A key issue is that standard techniques for one-dimensional patterns have proven insufficient for understanding localisation in higher dimensions. In this work, we present a comprehensive approach to this problem by using… 
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  • 1999
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Editorial to Homoclinic snaking at 21: in memory of Patrick Woods
  • A. Champneys
  • Materials Science
    IMA Journal of Applied Mathematics
  • 2021
This editorial serves as an extended introduction to the Special Issue. It gives the context to homoclinic snaking, especially the contribution of Patrick Woods. A very brief summary of more recent