SCALING BEHAVIOR OF CHAOTIC SYSTEMS WITH RIDDLED BASINS

Citation
E. Ott et al., SCALING BEHAVIOR OF CHAOTIC SYSTEMS WITH RIDDLED BASINS, Physical review letters, 71(25), 1993, pp. 4134-4137
Citations number
8
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
71
Issue
25
Year of publication
1993
Pages
4134 - 4137
Database
ISI
SICI code
0031-9007(1993)71:25<4134:SBOCSW>2.0.ZU;2-0
Abstract
Recently it has been shown that there are chaotic attractors whose bas ins are such that every point in the attractor's basin has pieces of a nother attractor's basin arbitrarily nearby (the basin is ''riddled'' with holes). Here we report quantitative theoretical results for such basins and compare with numerical experiments on a simple physical mod el.