Realization of homeomorphisms of surfaces of algebraically finite order by Morse-Smale diffeomorphisms with orientable heteroclinic intersection

DOI10.1134/S0081543821050072zbMath1487.37026OpenAlexW4206353520MaRDI QIDQ2071553

A. I. Morozov, Olga V. Pochinka, Vyacheslav Z. Grines

Publication date: 28 January 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821050072

zbMATH Keywords

pseudo-Anosov homeomorphismMorse-Smale diffeomorphismorientable heteroclinic intersectionThurston canonical form

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Differentiable maps on manifolds (58C25) Differential topological aspects of diffeomorphisms (57R50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15)

Related Items (3)

On a Classification of Periodic Maps on the 2-Torus ⋮ Determination of the homotopy type of a Morse-Smale diffeomorphism on an orientable surface by a heteroclinic intersection ⋮ Determination of the Homotopy Type of a Morse – Smale Diffeomorphism on a 2-torus by Heteroclinic Intersection

Cites Work

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• The topological classification of cascades on closed two-dimensional manifolds
• The Uniformization Theorem
• Diffeomorphisms of 2-manifolds with one-dimensional spaciously situated basic sets
• Differentiable dynamical systems

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