On existence of noncompact heteroclinic curves
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Publication:1431462
DOI10.1007/BF02972822zbMath1057.37022MaRDI QIDQ1431462
Evgeny Zhuzhoma, Vyacheslav Z. Grines, V. S. Medvedev
Publication date: 9 June 2004
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Morse-Smale systems (37D15)
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On the topological structure of manifolds supporting axiom a systems ⋮ Locally flat and wildly embedded separatrices in simplest Morse-Smale systems
Cites Work
- Wild unstable manifolds
- On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds.
- Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
- Dynamical systems in dimension 2 and 3: conjugacy invariants and classification
- Classification of gradient-like flows on dimensions two and three
- Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves.
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