Transient chaos as the backbone of dynamics on strange attractors beyond crisis

We show that chaotic attractors at and above internal crisis points can be naturally decomposed into nonattracting invariant chaotic sets connected by weak intermittent heteroclinic couplings. These basic component sets are used to obtain the dynamical multifractal spectrum characterising the asympt...

Full description

Saved in:
Bibliographic Details
Published in:Physics letters. A 1994-12, Vol.196 (1), p.173-180
Main Authors: Szabó, K.G., Tél, T.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We show that chaotic attractors at and above internal crisis points can be naturally decomposed into nonattracting invariant chaotic sets connected by weak intermittent heteroclinic couplings. These basic component sets are used to obtain the dynamical multifractal spectrum characterising the asymptotic and the finite time dynamics on the entire attractor.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(94)91066-9