Transverse surfaces and attractors for 3-flows
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- by W. J. Colmenarez and C. A. Morales PDF
- Trans. Amer. Math. Soc. 354 (2002), 795-806 Request permission
Abstract:
We prove that a hyperbolic strange attractor of a three-dimensional vector field is a suspension if it exhibits a transverse surface over which the unstable manifold induces a lamination without closed leaves. We also study the topological equivalence of singular attractors exhibiting transverse surfaces for three-dimensional vector fields.References
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Additional Information
- W. J. Colmenarez
- Affiliation: Instituto de Matematica, Universidade Federal do Rio de Janeiro, C. P. 68.530, CEP 21.945-970, Rio de Janeiro, Brazil
- Address at time of publication: Universidad Centroccidental Lizandro Alvarado, Departamento de Matemática, Decamato de Ciencias, Apdo 400, Barquisimeto, Venezuela
- Email: wilmerc@pg.im.ufrj.br
- C. A. Morales
- Affiliation: Instituto de Matematica, Universidade Federal do Rio de Janeiro, C. P. 68.530, CEP 21.945-970, Rio de Janeiro, Brazil
- MR Author ID: 611238
- ORCID: 0000-0002-4808-6902
- Email: morales@impa.br
- Received by editor(s): October 27, 1999
- Received by editor(s) in revised form: November 15, 2000
- Published electronically: September 19, 2001
- Additional Notes: Partially supported by FAPERJ, CNPq and PRONEX of Brasil.
- © Copyright 2001 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 795-806
- MSC (2000): Primary 37Dxx; Secondary 37C15
- DOI: https://doi.org/10.1090/S0002-9947-01-02822-7
- MathSciNet review: 1862568