Quaternions in collective dynamics

Article, Preprint English OPEN
Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane;
  • Publisher: Society for Industrial and Applied Mathematics
  • Related identifiers: doi: 10.1137/17M1135207
  • Subject: QA | [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] | Mathematical Physics | Mathematics - Analysis of PDEs | 35Q92, 82C22, 82C70, 92D50 | [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

We introduce a model of multi-agent dynamics for self-organised motion; individuals travel at a constant speed while trying to adopt the averaged body attitude of their neighbours. The body attitudes are represented through unitary quaternions. We prove the correspondan... View more
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