On Topological Classification of Morse–Smale Diffeomorphisms

DOI10.1007/978-3-642-14788-3_31zbMath1254.37025OpenAlexW2101641231MaRDI QIDQ2909707

Olga V. Pochinka, Vyacheslav Z. Grines

Publication date: 6 September 2012

Published in: Dynamics, Games and Science II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-14788-3_31

zbMATH Keywords

3-manifoldsMorse-Smale diffeomorphismsknot and link invariantsPeixoto graphs

Mathematics Subject Classification ID

Applications of graph theory (05C90) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Morse-Smale systems (37D15)

Related Items (13)

Efficient algorithms for the recognition of topologically conjugate gradient-like diffeomorhisms ⋮ Many-dimensional Morse-Smale diffeomeophisms with a dominant saddle ⋮ О соответствии базисных множеств А-эндоморфизмов и А-диффеоморфизмов ⋮ Dynamical systems and topology of magnetic fields in conducting medium ⋮ On the structure of the ambient manifold for Morse-Smale systems without heteroclinic intersections ⋮ Rough diffeomorphisms with basic sets of codimension one ⋮ An example of neutrally nonwandering points for the inner mappings that are not neutrally recurrent ⋮ On hyperbolic attractors and repellers of endomorphisms ⋮ Conjugacy of Morse-Smale diffeomorphisms with three nonwandering points ⋮ Underlying manifolds of high-dimensional Morse-Smale diffeomorphisms with two saddle periodic points ⋮ Topological classification of Morse-Smale diffeomorphisms without heteroclinic intersections ⋮ Morse-Smale systems and topological structure of carrier manifolds ⋮ On heteroclinic separators of magnetic fields in electrically conducting fluids

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