The wild Fox–Artin arc in invariant sets of dynamical systems

DOI10.1080/14689367.2017.1421903zbMath1402.37029arXiv1707.00816OpenAlexW2963318390MaRDI QIDQ4559383

Timur V. Medvedev, Olga V. Pochinka

Publication date: 3 December 2018

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00816

zbMATH Keywords

invariant setdynamical systemswild arc

Mathematics Subject Classification ID

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

Related Items (6)

On existence of an energy function for \(\Omega\)-stable surface diffeomorphisms ⋮ Criterion for the existence of an energy function for a regular homeomorphism of the 3-sphere ⋮ Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers ⋮ Knot as a complete invariant of a Morse-Smale 3-diffeomorphism with four fixed points;Узел как полный инвариант 3-диффеоморфизмов Морса-Смейла с четырьмя неподвижными точками ⋮ On 4-dimensional flows with wildly embedded invariant manifolds of a periodic orbit ⋮ On embedding of the Morse-Smale diffeomorphisms in a topological flow

Cites Work

• Dynamical systems on 2- and 3-manifolds
• 2-wild trajectories
• Wild unstable manifolds
• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• A note on some contractible 4-manifolds
• Some wild cells and spheres in three-dimensional space

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