Symbolic Dynamics in Flows on Three-Manifolds

DOI10.2307/1999381zbMath0534.58032OpenAlexW4235512234MaRDI QIDQ3317793

John Franks

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999381

zbMATH Keywords

subshift of finite typeclosed orbitbasic setSmale flowstructure matrix

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

Two-dimensional attractors of A-flows and fibred links on three-manifolds ⋮ Complete topological invariants of Morse-Smale flows and handle decompositions of 3-manifolds ⋮ Construction of 3-dimensional Smale flows ⋮ Templates and Train Tracks

Cites Work

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• Round handles and non-singular Morse-Smale flows
• Homology for zero-dimensional nonwandering sets
• Classification of subshifts of finite type
• One-dimensional hyperbolic sets for flows
• Subshifts on surfaces
• An obstruction to the existence of certain dynamics in surface diffeomorphisms
• Differentiable dynamical systems

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