Hostname: page-component-74656f9884-npj9w Total loading time: 0 Render date: 2026-11-11T02:43:33.779Z Has data issue: false hasContentIssue false
  • English
  • Français

Two-dimensional links and diffeomorphisms on 3-manifolds

Published online by Cambridge University Press:  19 June 2002

CHRISTIAN BONATTI ,
VIATCHESLAV GRINES  and
ELISABETH PÉCOU
CHRISTIAN BONATTI
Affiliation:
Laboratoire de Topologie, UMR 5584 du CNRS, B.P. 47 870, 21078 Dijon Cedex, France (e-mail: bonatti@satie.u-bourgogne.fr)
VIATCHESLAV GRINES
Affiliation:
Steklov Institute of Mathematics, Moscou State University, Vavilova str. 42, Moscou 117966, Russia (e-mail: grines@unn.ac.ru)
ELISABETH PÉCOU
Affiliation:
Laboratoire de Topologie, UMR 5584 du CNRS, B.P. 47 870, 21078 Dijon Cedex, France (e-mail: epecou@u-bourgogne.fr)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

For diffeomorphisms on 3-manifolds, two-dimensional links composed of tori (and possibly one Klein bottle) embedded in S^2\times S^1 appear in a natural way to describe the topological position of two-dimensional unstable manifolds of saddles in the basin of a periodic sink. For such a link \mathcal{E} we build a diffeomorphism f_{\mathcal{E}} which is used as a canonical model for ‘pieces of the dynamics’, namely the basin of attractors consisting of a sink and a finite set of two-dimensional unstable manifolds of saddles.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 3 , June 2002 , pp. 687 - 710
Copyright
2002 Cambridge University Press