The energy function for gradient-like diffeomorphisms on 3-manifolds

DOI10.1134/S1064562408050165zbMath1187.37022OpenAlexW2082644677MaRDI QIDQ1048498

François Laudenbach, Olga V. Pochinka, Vyacheslav Z. Grines

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408050165

zbMATH Keywords

diffeomorphismLyapunov functionenergy function

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Morse-Smale systems (37D15)

Related Items (3)

On Topological Classification of Morse–Smale Diffeomorphisms ⋮ Energy functions for dynamical systems ⋮ Dynamically ordered energy function for Morse-Smale diffeomorphisms on 3-manifolds

Cites Work

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• A mildly wild imbedding of an \(n\)-frame
• Wild unstable manifolds
• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• On gradient dynamical systems
• Some wild cells and spheres in three-dimensional space
• New relations for Morse-Smale systems with trivially embedded one-dimensional separatrices
• Differentiable dynamical systems
• Energy Functions for Morse Smale Systems

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