Identifying manifolds underlying group motion in Vicsek agents

K. Gajamannage, S. Butail, M. Porfiri, E. M. Bollt

Research output: Contribution to journalArticle

Abstract

Collective motion of animal groups often undergoes changes due to perturbations. In a topological sense, we describe these changes as switching between low-dimensional embedding manifolds underlying a group of evolving agents. To characterize such manifolds, first we introduce a simple mapping of agents between time-steps. Then, we construct a novel metric which is susceptible to variations in the collective motion, thus revealing distinct underlying manifolds. The method is validated through three sample scenarios simulated using a Vicsek model, namely, switching of speed, coordination, and structure of a group. Combined with a dimensionality reduction technique that is used to infer the dimensionality of the embedding manifold, this approach provides an effective model-free framework for the analysis of collective behavior across animal species.

Original languageEnglish (US)
Pages (from-to)3245-3256
Number of pages12
JournalEuropean Physical Journal: Special Topics
Volume224
Issue number17-18
DOIs
StatePublished - Dec 1 2015

ASJC Scopus subject areas

  • Materials Science(all)
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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