Peixoto graphs of Morse-Smale foliations on surfaces

DOI10.1016/S0166-8641(96)00101-0zbMath0881.57027OpenAlexW1992351293MaRDI QIDQ1356968

I. U. Bronshteĭn, Igor V. Nikolaev

Publication date: 5 February 1998

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(96)00101-0

zbMATH Keywords

surfacePeixoto graphMorse-Smale foliationPeixoto classification

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Foliations in differential topology; geometric theory (57R30) Stability theory for smooth dynamical systems (37C75) Morse-Smale systems (37D15)

Related Items (7)

The combinatorics of gradient-like flows and foliations on closed surfaces. I: Topological classification ⋮ Peixoto Classification of 2-Dim Flows Revisited ⋮ Topological characterizations of Morse-Smale flows on surfaces and generic non-Morse-Smale flows ⋮ Discrete representations of orbit structures of flows for topological data analysis ⋮ Discrete line fields on surfaces ⋮ Qualitative theory of foliations on closed surfaces ⋮ The Poincaré-Bendixson theorem and arational foliations on the sphere

Cites Work

• Qualitative theory of foliations on closed surfaces
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