Nonuniform hyperbolicity for singular hyperbolic attractors
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- by Wilmer J. Colmenárez Rodriguez PDF
- Trans. Amer. Math. Soc. 357 (2005), 4131-4140 Request permission
Abstract:
In this paper we show nonuniform hyperbolicity for a class of attractors of $C^2$ flows in dimension three. These attractors are partially hyperbolic with central direction being volume expanding, contain dense periodic orbits and hyperbolic singularities of the associated vector field. Classical expanding Lorenz attractors are the main examples in this class.References
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Additional Information
- Wilmer J. Colmenárez Rodriguez
- Affiliation: Departamento de Matemática, Decanato de Ciencias y Tecnología, Universidad Centro Occidental Lisandro Alvarado, Apartado 400 Barquisimeto, Venezuela
- Email: wilmerc@uicm.ucla.edu.ve
- Received by editor(s): June 17, 2003
- Received by editor(s) in revised form: December 2, 2003
- Published electronically: December 10, 2004
- Additional Notes: This work was partially supported by FONACIT and CDCHT-UCOLA (Venezuela) and by CNPq (Brazil)
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 357 (2005), 4131-4140
- MSC (2000): Primary 37Dxx; Secondary 37C15
- DOI: https://doi.org/10.1090/S0002-9947-04-03706-7
- MathSciNet review: 2159702