Dominated chain recurrent class with singularities

2011/06/20 by Christian Bonatti, Bonatti, Christian, Shaobo Gan +3 · 2 citations
Mathematics · #37C10 37C20 37C27 37D45 37D05 37D30 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #math.DS #msc:37C10 #msc:37C20 #msc:37C27 #msc:37D05 #msc:37D30 #msc:37D45

paper · pdf · doi:10.48550/arxiv.1106.3905

15 pages, 0 figure

arxiv created 2011/06/20 · openalex publication_date 2011/06/20 · arxiv updated 2011/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for generic three-dimensional vector fields, domination implies singular hyperbolicity.

Citations

• Deterministic Nonperiodic Flow

Cited by

• Star fows and multisingular hyperbolicity
• Existence of attractors for three-dimensional flows

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