Strange attractors across the boundary of hyperbolic systems

Citation
Ca. Morales et al., Strange attractors across the boundary of hyperbolic systems, COMM MATH P, 211(3), 2000, pp. 527-558
Citations number
20
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
211
Issue
3
Year of publication
2000
Pages
527 - 558
Database
ISI
SICI code
0010-3616(200005)211:3<527:SAATBO>2.0.ZU;2-7
Abstract
We study a bifurcation of Axiom A (hyperbolic) vector fields in dimension t hree leading to robust strange attractors with singularities. The Axiom A V ector fields involved in the bifurcation exhibit a basic set equivalent to the suspension of a three symbol subshift. The attractors arising from this kind of bifurcation are not equivalent to the geometric Lorenz attractors.