Singular hyperbolicity of star flows on surfaces

DOI10.1007/s10114-015-4709-3zbMath1358.37049OpenAlexW1187625492MaRDI QIDQ748186

Sheng Zhi Zhu

Publication date: 20 October 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4709-3

zbMATH Keywords

star flowchain recurrent classsingular hyperbolicity

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Partially hyperbolic systems and dominated splittings (37D30) Flows on surfaces (37E35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Indices of singularities of robustly transitive sets
• Qualitative theory of flows on surfaces (a review)
• Chain recurrence in surface flows
• One-dimensional chain recurrent sets of flows in the 2-sphere
• An ergodic closing lemma
• \({\mathcal X}^*\) plus axiom A does non imply no-cycle
• Nonsingular star flows satisfy Axiom A and the no-cycle condition
• Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles
• Singular hyperbolic systems
• Chain recurrence in flows on the Klein bottle
• The Planar Closing Lemma for Chain Recurrence
• A dichotomy for three-dimensional vector fields

This page was built for publication: Singular hyperbolicity of star flows on surfaces