Components of stable isotopy connectedness of Morse-Smale diffeomorphisms

DOI10.1134/S1560354722010087zbMath1498.37028OpenAlexW4210786099MaRDI QIDQ2125708

Elena Nozdrinova, Olga V. Pochinka, Timur V. Medvedev

Publication date: 14 April 2022

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354722010087

zbMATH Keywords

gradient-like diffeomorphismMorse-Smale diffeomorphismstable arc

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Morse-Smale systems (37D15)

Cites Work

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• Dynamical systems on 2- and 3-manifolds
• Global attractor and repeller of Morse-Smale diffeomorphisms
• There are two isotopic Morse-Smale diffeomorphisms which cannot be joined by simple arcs
• On manifolds homeomorphic to the 7-sphere
• Bifurcations and stability of families of diffeomorphisms
• Invariants of the NPT isotopy classes of Morse-Smale diffeomorphisms of surfaces
• Wild unstable manifolds
• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere
• Topological classification of Morse-Smale diffeomorphisms on \(3\)-manifolds
• Bifurcations of Morse-Smale diffeomorphisms with wildly embedded separatrices
• Embedding in a flow of Morse-Smale diffeomorphisms on manifolds of dimension higher than two
• On the simple isotopy class of a source-sink diffeomorphism on the 3-sphere
• On gradient dynamical systems
• Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
• On Morse-Smale dynamical systems
• Replacing tangencies by saddle-nodes
• Stable arcs of diffeomorphisms
• On Embedding of Multidimensional Morse-Smale Diffeomorphisms in Topological Flows
• Classification of Morse–Smale systems and topological structure of the underlying manifolds
• Topological classification of Morse–Smale diffeomorphisms without heteroclinic curves on 3-manifolds
• Rotation Number as a Complete Topological Invariant of a Simple Isotopic Class of Rough Transformations of a Circle
• On 2-diffeomorphisms with one-dimensional basic sets and a finite number of moduli
• Differentiable dynamical systems
• Energy Functions for Morse Smale Systems
• Necessary Conditions for Stability of Diffeomorphisms
• Invariant manifolds

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