English

Existence of attractors for three-dimensional flows

Dynamical Systems 2014-05-21 v1

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.

Keywords

Cite

@article{arxiv.1405.5069,
  title  = {Existence of attractors for three-dimensional flows},
  author = {C. A. Morales},
  journal= {arXiv preprint arXiv:1405.5069},
  year   = {2014}
}

Comments

14 pages. arXiv admin note: text overlap with arXiv:1308.1734 by other authors

R2 v1 2026-06-22T04:18:54.803Z