Construction of 3-dimensional Smale flows

DOI10.5802/afst.938zbMath0966.37003OpenAlexW2327271725MaRDI QIDQ1576417

J. L. Vietez, Christian Bonatti, François Béguin

Publication date: 20 August 2001

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1999_6_8_3_369_0

zbMATH Keywords

flowshyperbolic setsSmale flow

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (1)

Classification of Smale diffeomorphisms of surfaces: realisable geometric types

Cites Work

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• Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
• Knots and links in three-dimensional flows
• A topological invariant of flows on 1-dimensional spaces
• One-dimensional hyperbolic sets for flows
• Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
• Symbolic Dynamics in Flows on Three-Manifolds
• An obstruction to the existence of certain dynamics in surface diffeomorphisms
• Invariant manifolds
• Smale flows in dimension 3: finite presentations of invariant neighbourhoods of saddle sets

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