Existence of attractors for three-dimensional flows
arXiv:1405.5069
Abstract
We prove the results in [1] using Theorem 1 of the recent paper [2] by Crovisier and Yang. References: [1] Arbieto, A., Rojas, C., Santiago, B., Existence of attractors, homoclinic tangencies and singular-hyperbolicity for flows, arXiv:1308.1734v1 [math.DS] 8 Aug 2013. [2] Crovisier, S., Yang, D., On the density of singular hyperbolic three-dimensional vector fields: a conjecture of Palis, arXiv:1404.5130v1 [math.DS] 21 Apr 2014.
14 pages. arXiv admin note: text overlap with arXiv:1308.1734 by other authors
References in corpus (5)
- Partial hyperbolicity and attracting regions in 3-dimensional manifolds
- Morse-Smale systems and horseshoes for three dimensional singular flows
- On the density of singular hyperbolic three-dimensional vector fields: a conjecture of Palis
- Dominated chain recurrent class with singularities
- On Araujo's Theorem for flows