Collective motion in a system of motile elements

  • Shimoyama N
  • Sugawara K
  • Mizuguchi T
 et al. 
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Abstract

Clusters of biological organisms often show diverse collective motions. Considering the physical properties of active elements with mutual interactions, we propose a mathematical model of collective motion. Several kinds of cluster motion seen in nature, including collective rotation, chaos, and wandering, occur in computer simulations of our deterministic model. By introducing a set of dimensionless parameters, we categorize the collective motions and obtain their phase diagram. We analyze the collective motions with a disorder parameter and Lyapunov spectra to characterize their transitions.

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Authors

  • Naohiko Shimoyama

  • Ken Sugawara

  • Tsuyoshi Mizuguchi

  • Yoshinori Hayakawa

  • Masaki Sano

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