On 4-dimensional flows with wildly embedded invariant manifolds of a periodic orbit

DOI10.2478/amns.2020.2.00049OpenAlexW3102675978MaRDI QIDQ2690771

D. D. Shubin, Olga V. Pochinka

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00049

zbMATH Keywords

classificationsuspensionwild embeddingpixton diffeomorphism

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

Cites Work

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• Dynamical systems on 2- and 3-manifolds
• Wild unstable manifolds
• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• Morse--Smale systems with few non-wandering points
• Topological classification of Morse-Smale diffeomorphisms on \(3\)-manifolds
• Some wild cells and spheres in three-dimensional space
• The wild Fox–Artin arc in invariant sets of dynamical systems