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.
|Number of pages||8|
|Journal||Chaos, solitons and fractals|
|Publication status||Published - 1997 Oct|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Applied Mathematics