A combinatorial invariant of Morse-Smale diffeomorphisms without heteroclinic intersections on the sphere \(S^n\), \(n\geq 4\)

DOI10.1134/S0001434619010140zbMath1452.37019OpenAlexW2937622561MaRDI QIDQ2313616

E. Ya. Gurevich, Olga V. Pochinka, Vyacheslav Z. Grines

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619010140

zbMATH Keywords

topological conjugacyMorse-Smale diffeomorphismbicolored graph

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15) Symmetries and invariants of dynamical systems (37C79)

Related Items

Criterion for the topological conjugacy of multi-dimensional gradient-like flows with no heteroclinic intersections on a sphere ⋮ On realization of topological conjugacy classes of Morse-Smale cascades on the sphere \(S^n\) ⋮ On topological classification of gradient-like flows on an \(n\)-sphere in the sense of topological conjugacy ⋮ Classification of Morse–Smale systems and topological structure of the underlying manifolds

Cites Work

• Unnamed Item
• Dynamical systems on 2- and 3-manifolds
• Classification of Morse-Smale diffeomorphisms with one-dimensional set of unstable separatrices
• Topological classification of Morse-Smale diffeomorphisms without heteroclinic intersections
• On embedding Morse-Smale diffeomorphisms on the sphere in topological flows
• Differential Topology
• Morse-Smale cascades on 3-manifolds
• n-Frames in Euclidean k-Space
• Locally flat imbeddings of topological manifolds