• Corpus ID: 247518944

Approximate localised dihedral patterns near a Turing instability

@inproceedings{Hill2022ApproximateLD,
  title={Approximate localised dihedral patterns near a Turing instability},
  author={Dan J. Hill and Jason J. Bramburger and David J. B. Lloyd},
  year={2022}
}
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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