Magic Number 7 +- 2 in Globally Coupled Dynamical Systems?
| dc.creator | Kaneko, Kunihiko | |
| dc.date | 2002-04-10 | |
| dc.date.accessioned | 2026-07-07T05:34:01Z | |
| dc.date.available | 2026-07-07T05:34:01Z | |
| dc.description | The prevalence of Milnor attractors has recently been reported in a class of high-dimensional dynamical systems. We study how this prevalence depends on the number of degrees of freedom by using a globally coupled map and show that the basin fraction of Milnor attractors increases drastically around 5-10 degrees of freedom, saturating for higher numbers of degrees of freedom. It is argued that this dominance of Milnor attractors in the basin arises from a combinatorial explosion of the basin boundaries. In addition, the dominance is also found in a system without permutation symmetry, i,e., a coupled dynamical system of non-identical elements. Possible relevance to the magic number $7\pm 2$ in psychology is discussed. | |
| dc.description | 4 pages, 4 figures, submitted to PRL | |
| dc.identifier | https://arxiv.org/abs/nlin/0204013 | |
| dc.identifier | http://arxiv.org/abs/nlin/0204013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80209 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Magic Number 7 +- 2 in Globally Coupled Dynamical Systems? | |
| dc.type | text |