Strange attractors across the boundary of hyperbolic systems
type: Item
instance of: scholarly article
title: Strange attractors across the boundary of hyperbolic systems
zbMATH Open document ID: 0957.37032
published in: Communications in Mathematical Physics
publication date: 2000-10-22T00:00:00Z
review text: The main goal of this paper is to present a bifurcation leading to strange attractors with singularities across the boundary of Axiom A (hyperbolic) vector fields. More precisely, the authors study a bifurcation of hyperbolic vector fields in dimension three leading to robust strange attrators with singularities. They show that the attractors arising from this kind of bifurcation are not equivalent (Theorem 1) to the geometric Lorenz attractors.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37D05
Mathematics Subject Classification ID: 37D20
zbMATH DE Number: 1520510
zbMATH Keywords: strange attractors
zbMATH Keywords: Axiom A
zbMATH Keywords: bifurcation of hyperbolic vector fields
zbMATH Keywords: Lorenz attractors
author: C. A. Morales
author: M. J. Pacifico
author: Enrique R. Pujals
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s002200050825
OpenAlex ID: W2042563130
DOI: 10.1007/S002200050825
description: scientific article; zbMATH DE number 1520510