Robustly transitive flows on compact manifolds

DOI10.1016/j.crma.2003.10.001zbMath1079.37013OpenAlexW2029503006MaRDI QIDQ1420190

Thérèse Vivier

Publication date: 28 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.001

zbMATH Keywords

vector fieldsingularitydominated structure

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (9)

Weak hyperbolic structures and robust properties of diffeomorphisms and flows ⋮ Partial hyperbolicity for symplectic diffeomorphisms ⋮ Specification and partial hyperbolicity for flows ⋮ Statistical Properties of Lorenz-like Flows, Recent Developments and Perspectives ⋮ Infinitesimal Lyapunov functions for singular flows ⋮ Robust attractors without dominated splitting on manifolds with boundary ⋮ SURVEY Towards a global view of dynamical systems, for the C¹-topology ⋮ Singular robustly chain transitive sets are singular volume partial hyperbolic ⋮ A robustly chain transitive attractor with singularities of different indices

Cites Work

• Unnamed Item
• Structural stability of Lorenz attractors
• A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
• On C1 robust singular transitive sets for three-dimensional flows
• Homoclinic classes for generic C^1 vector fields
• Necessary Conditions for Stability of Diffeomorphisms

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