On the hyperbolicity of flows

DOI10.1007/s11425-015-5109-yzbMath1338.37041OpenAlexW2291479753MaRDI QIDQ294492

Zhaonan Liu, Shaobo Gan, Ru Song Zheng

Publication date: 16 June 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5109-y

zbMATH Keywords

singularityflowhyperbolicitychain transitive

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30)

Cites Work

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• On the singular-hyperbolicity of star flows
• Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
• New criteria for hyperbolicity based on periodic sets
• The \(\Omega\)-stability theorem for flows
• Three-Dimensional Flows
• On C1 robust singular transitive sets for three-dimensional flows
• Non-zero Lyapunov exponents and uniform hyperbolicity
• A dichotomy for three-dimensional vector fields
• On the uniform hyperbolicity of some nonuniformly hyperbolic systems
• Differentiable dynamical systems

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