A model of incomplete identification illustrating schooling behavior

Yukio Pegio Gunji*, Yoshiyuki Kusunoki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We propose a model of interaction based upon incomplete identification consisting of alternate procedure of constructing a map from coarse-grained data by a contraction mapping and of applying the map to fine-grained data. In considering schooling of fish which is a typical emergent global behavior derived from local interactions, we argue that schooling paradoxically results from incomplete or indefinite identification of others. It suggests a system without boundary because any interaction is destined to be incomplete in this framework.

Original languageEnglish
Pages (from-to)1623-1630
Number of pages8
JournalChaos, solitons and fractals
Issue number10
Publication statusPublished - 1997 Oct
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics


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