On the simple isotopy class of a source-sink diffeomorphism on the 3-sphere

DOI10.1134/S0001434613110230zbMath1360.37071MaRDI QIDQ2439995

Olga V. Pochinka, Vyacheslav Z. Grines

Publication date: 26 March 2014

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

zbMATH Keywords

3-manifoldMorse-Smale diffeomorphismisotopic diffeomorphismssource-sink diffeomorphismwildly embedded separatrices

Mathematics Subject Classification ID

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

Related Items (7)

Components of stable isotopy connectedness of Morse-Smale diffeomorphisms ⋮ Bifurcations changing the homotopy type of the closure of an invariant saddle manifold of a surface diffeomorphism ⋮ Topological classification of global magnetic fields in the solar corona ⋮ On topological classification of Morse–Smale diffeomorphisms on the sphere S ⁿ (n > 3) ⋮ Topological classification of Morse-Smale diffeomorphisms without heteroclinic intersections ⋮ Rotation Number as a Complete Topological Invariant of a Simple Isotopic Class of Rough Transformations of a Circle ⋮ Stable Arcs Connecting Polar Cascades on a Torus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• There are two isotopic Morse-Smale diffeomorphisms which cannot be joined by simple arcs
• Invariants of the NPT isotopy classes of Morse-Smale diffeomorphisms of surfaces
• Wild unstable manifolds
• Topological classification of gradient-like diffeomorphisms on 3-manifolds.
• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• On irreducible 3-manifolds which are sufficiently large
• Invariant manifolds

This page was built for publication: On the simple isotopy class of a source-sink diffeomorphism on the 3-sphere