NMS flows on \(S ^{3}\) with no heteroclinic trajectories connecting saddle orbits

DOI10.1007/s10884-012-9247-4zbMath1268.37024OpenAlexW2120529021MaRDI QIDQ431122

Pura Vindel, Beatriz Campos

Publication date: 26 June 2012

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-012-9247-4

zbMATH Keywords

connected sumround handle decompositionlinks of periodic orbitsNMS systems

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Morse-Smale systems (37D15)

Related Items (2)

Building Non Singular Morse-Smale Flows on 3-Dimensional Lens Spaces ⋮ Behavior 0 nonsingular Morse Smale flows on \(S^3\)

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
• NMS flows on three-dimensional manifolds with one saddle periodic orbit
• Non equivalence of NMS flows on $S^{3}$
• Bifurcations of links of periodic orbits in non-singular Morse - Smale systems on

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