Stable isotopy connectivity of gradient-like diffeomorphisms of 2-torus

DOI10.1016/j.geomphys.2024.105352MaRDI QIDQ6655049

Unnamed Author, O. Pochinka, Unnamed Author

Publication date: 20 December 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

2-torusgradient-like diffeomorphismsstructural stable diffeomorphismsstable arcsstable isotopy connectivity

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical systems on 2- and 3-manifolds
• Global attractor and repeller of Morse-Smale diffeomorphisms
• Bifurcations and stability of families of diffeomorphisms
• Invariants of the NPT isotopy classes of Morse-Smale diffeomorphisms of surfaces
• Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere
• 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
• A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces
• Classification of periodic transformations of an orientable surface of genus two
• Invariant manifolds
• On a Classification of Periodic Maps on the 2-Torus
• Scenario of stable transition from diffeomorphism of torus isotopic to identity one to skew product of rough transformations of circle

This page was built for publication: Stable isotopy connectivity of gradient-like diffeomorphisms of 2-torus