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Finiteness of partially hyperbolic attractors with one-dimensional center

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Publication:3304653
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DOI10.24033/ASENS.2428zbMath1453.37026arXiv1706.08684OpenAlexW3040449685MaRDI QIDQ3304653

Sylvain Crovisier, Rafael Potrie, Martín Sambarino

Publication date: 3 August 2020

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08684


zbMATH Keywords

attractorspartial hyperbolicitydifferentiable dynamics


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generic properties, structural stability of dynamical systems (37C20) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)


Related Items (3)

\(C^r\)-closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle ⋮ Only rational homology spheres admit Ω(f) to be union of DE attractors ⋮ Uniqueness of minimal unstable lamination for discretized Anosov flows







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