Topological conjugacy of non-singular flows with two limit cycles on S2×S1

DOI10.15507/2079-6900.24.202201.40-53OpenAlexW4221020768MaRDI QIDQ5882097

Vladislav Kruglov, Alisa Leonidovna Dobrolyubova

Publication date: 15 March 2023

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo820

zbMATH Keywords

limit cycletopological conjugacynon-singular flowmodulus of stability

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Periodic orbits of vector fields and flows (37C27)

Cites Work

• Morse-Smale vector fields without closed trajectories on three-dimensional manifolds.
• On topological classification of gradient-like flows on an \(n\)-sphere in the sense of topological conjugacy
• A classification of elementary cycles
• Classification of Morse-Smale flows on two-dimensional manifolds
• Energy Functions for Morse Smale Systems
• Morse-Bott energy function for surface Ω-stable flows
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