Trajectory equivalence of optimal Morse flows on closed surfaces

DOI10.15673/tmgc.v11i1.916zbMath1428.37017OpenAlexW2807264299MaRDI QIDQ5242764

Zlata Kybalko, O. O. Pryshlyak, Roman Shchurko

Publication date: 13 November 2019

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15673/tmgc.v11i1.916

zbMATH Keywords

chord diagramtopological classificationMorse flow

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Morse-Smale systems (37D15)

Related Items

Flows with minimal number of singularities in the Boy's surface ⋮ Topological structure of optimal flows on the Girl's surface ⋮ Morse flows with fixed points on the boundary of 3-manifolds ⋮ Three-color graph of the Morse flow on a compact surface with boundary ⋮ Heegaard diagrams and optimal Morse flows on non-orientable 3-manifolds of genus 1 and genus $2$ ⋮ Flows with collective dynamics on a sphere

Cites Work

• Structural stability on two-dimensional manifolds
• On gradient dynamical systems
• Classification of gradient-like flows on dimensions two and three
• Classification of Morse-Smale flows on two-dimensional manifolds
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