NMS flows on three-dimensional manifolds with one saddle periodic orbit

DOI10.1007/s10114-003-0305-zzbMath1053.37013OpenAlexW2048519773MaRDI QIDQ1888699

Alicia Cordero, Beatriz Campos, José Martínez-Alfaro, Pura Vindel

Publication date: 26 November 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-003-0305-z

zbMATH Keywords

Lens spacesNMS systemsLinks of periodic orbitsRound handle decomposition

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Low-dimensional dynamical systems (37E99) Morse-Smale systems (37D15)

Related Items

Building Non Singular Morse-Smale Flows on 3-Dimensional Lens Spaces ⋮ Lorenz like Smale flows on three-manifolds ⋮ Non-singular Morse–Smale flows on n-manifolds with attractor–repeller dynamics ⋮ Topology of Ambient 3-Manifolds of Non-Singular Flows with Twisted Saddle Orbit ⋮ NMS flows on \(S ^{3}\) with no heteroclinic trajectories connecting saddle orbits ⋮ Classification of Morse–Smale systems and topological structure of the underlying manifolds ⋮ Nonsingular Morse-Smale flows with three periodic orbits on orientable 3-manifolds

Cites Work

• The homotopy class of non-singular Morse-Smale vector fields on 3- manifolds
• Closed orbits of non-singular Morse-Smale flows on \(S^ 3\)
• Round handles and non-singular Morse-Smale flows
• Non-singular Morse-Smale flows on 3-dimensional manifolds
• Flows on 2-dimensional manifolds. An overview

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