Quasi-energy function for diffeomorphisms with wild separatrices

DOI10.1134/S0001434609070190zbMath1180.58008arXiv0810.4260MaRDI QIDQ736221

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

Publication date: 27 October 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4260

zbMATH Keywords

Lyapunov functionMorse theorycobordismsinksourcesaddleHeegaard splittingMorse-Smale diffeomorphismseparatrixwild embedding

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Morse-Smale systems (37D15)

Related Items (4)

Rough diffeomorphisms with basic sets of codimension one ⋮ The constructing of energy functions for \(\Omega \)-stable diffeomorphisms on 2- and 3-manifolds ⋮ Morse-Smale cascades on 3-manifolds ⋮ The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor

Cites Work

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• Wild unstable manifolds
• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• On Morse-Smale dynamical systems
• Some wild cells and spheres in three-dimensional space
• Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds
• Differentiable dynamical systems
• A Characterization of Tame Curves in Three-Space

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