Collective motion in a system of motile elements

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

Research output: Contribution to journalArticle

199 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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  • Cite this

    Shimoyama, N., Sugawara, K., Mizuguchi, T., Hayakawa, Y., & Sano, M. (1996). Collective motion in a system of motile elements. Physical Review Letters, 76(20), 3870-3873.