Collective motion in a system of motile elements

Naohiko Shimoyama, Ken Sugawara, Tsuyoshi Mizuguchi, Yoshinori Hayakawa, Masaki Sano

Research output: Contribution to journalArticlepeer-review

212 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)3870-3873
Number of pages4
JournalPhysical review letters
Issue number20
Publication statusPublished - 1996 May 13
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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