Riddled-like basins of transient chaos

Citation
M. Woltering et M. Markus, Riddled-like basins of transient chaos, PHYS REV L, 84(4), 2000, pp. 630-633
Citations number
29
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
84
Issue
4
Year of publication
2000
Pages
630 - 633
Database
ISI
SICI code
0031-9007(20000124)84:4<630:RBOTC>2.0.ZU;2-I
Abstract
The set of initial conditions leading to transient chaos in the neighborhoo d of a crisis is shown to display riddled-like behavior for finite, arbitra rily small accuracy. Calculations are performed with the logistic equation, as well as with an experimentally verifiable, quantitative description of a chemical reaction. Limitations in computational or experimental accuracy make the apparent riddling of initial conditions a phenomenon that is indis tinguishable fr om riddled basins.