Morse-Smale 3-diffeomorphisms with saddles of the same unstable manifold dimension

DOI10.20537/ND240301MaRDI QIDQ6640635

O. V. Pochinka, Eugene M. Osenkov

Publication date: 20 November 2024

Published in: Russian Journal of Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldsheteroclinic orbitsMorse-Smale diffeomorphismshyperbolic dynamicsambient manifold topology

Mathematics Subject Classification ID

Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15)

Cites Work

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• Dynamical systems on 2- and 3-manifolds
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• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• Sur l'extension de l'ordre partiel.
• Supporting manifolds for high-dimensional Morse-Smale diffeomorphisms with few saddles
• On Morse-Smale dynamical systems
• Morse inequalities for a dynamical system
• Differentiable dynamical systems
• Obstructions to the smoothing of piecewise-differentiable homeomorphisms
• Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves.

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