Star flows and multisingular hyperbolicity

DOI10.4171/JEMS/1064zbMath1487.37037arXiv1705.05799MaRDI QIDQ2039588

Christian Bonatti, Adriana da Luz

Publication date: 5 July 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05799

zbMATH Keywords

dominated splittingsingular hyperbolicitystar flowslinear Poincaré flow

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (8)

Weak hyperbolic structures and robust properties of diffeomorphisms and flows ⋮ A countable partition for singular flows, and its application on the entropy theory ⋮ An entropy dichotomy for singular star flows ⋮ On the partial hyperbolicity of robustly transitive sets with singularities ⋮ A rescaled expansiveness for flows ⋮ Entropy theory for sectional hyperbolic flows ⋮ Singular robustly chain transitive sets are singular volume partial hyperbolic ⋮ The dynamics of vector fields with singularities

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