Smale Flows on the Three-Sphere

DOI10.2307/2000794zbMath0625.58019OpenAlexW4240934499MaRDI QIDQ3027949

Ketty Abaroa de Rezendre

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000794

zbMATH Keywords

Lyapunov functionLyapunov graphSmale flows on \(S^ 3\)

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (10)

Minimal Morse flows on compact manifolds ⋮ Isolating blocks for Morse flows ⋮ Isolating blocks for periodic orbits ⋮ Complete topological invariants of Morse-Smale flows and handle decompositions of 3-manifolds ⋮ Lyapunov graphs of nonsingular Smale flows on 𝑆¹×𝑆² ⋮ Dynamical and topological aspects of Lyapunov graphs ⋮ On handle theory for Morse-Bott critical manifolds ⋮ Realizability of the morse polytope ⋮ Behavior 0 nonsingular Morse Smale flows on \(S^3\) ⋮ Gradient-like flows on 3-manifolds

Cites Work

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• Nonsingular Smale flows on \(S^ 3\)
• Round handles and non-singular Morse-Smale flows
• Homology for zero-dimensional nonwandering sets
• Classification of subshifts of finite type
• On gradient dynamical systems
• One-dimensional hyperbolic sets for flows
• Branched Surfaces and Attractors. I: Dynamic Branched Surfaces
• Differentiable dynamical systems

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