A multicolour graph as a complete topological invariant for $ \Omega$-stable flows without periodic trajectories on surfaces

DOI10.1070/SM8797zbMath1392.37021OpenAlexW2768259167MaRDI QIDQ4568560

Olga V. Pochinka, Vladislav Kruglov, Dmitriy S. Malyshev

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1070/sm8797

zbMATH Keywords

efficient algorithmtopological invariant\(\Omega\)-stable flowmulticolour graph

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Flows on surfaces (37E35)

Related Items (4)

Topological classification of \(\Omega\)-stable flows on surfaces by means of effectively distinguishable multigraphs ⋮ Three-color graph of the Morse flow on a compact surface with boundary ⋮ On algorithms that effectively distinguish gradient-like dynamics on surfaces ⋮ Flows with collective dynamics on a sphere

Cites Work

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• Dynamical systems on 2- and 3-manifolds
• Global structure of continuous flows on 2-manifolds
• The \(\Omega\)-stability theorem for flows
• Classification of Morse-Smale flows on two-dimensional manifolds
• A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces

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