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Existence of attractors for three-dimensional flows

2014/05/20 by C. A. Morales, Morales, C. A.
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Primary: 37D20 #Secondary: 37C70 #Stability and Controllability of Differential Equations #math.DS #msc:37C70 #msc:37D20

paper · pdf · doi:10.48550/arxiv.1405.5069

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

arxiv created 2014/05/20 · openalex publication_date 2014/05/20 · arxiv updated 2014/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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