Abstract
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 language | English |
|---|---|
| Pages (from-to) | 1623-1630 |
| Number of pages | 8 |
| Journal | Chaos, solitons and fractals |
| Volume | 8 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1997 Oct |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematics(all)
- Physics and Astronomy(all)
- Applied Mathematics