Topological classification of flows on closed two-dimensional manifolds
From MaRDI portal
Publication:4722879
DOI10.1070/RM1986v041n01ABEH003209zbMath0615.58015MaRDI QIDQ4722879
Vyacheslav Z. Grines, Samuel Kh. Aranson
Publication date: 1986
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Dynamics induced by flows and semiflows (37C10)
Related Items
Topological methods in surface dynamics ⋮ Structurally stable fields of line elements on surfaces ⋮ Minimal sets of Cartan foliations ⋮ Dynamical systems with variable dissipation: approaches, methods, and applications ⋮ On integrability in elementary functions of certain classes of nonconservative dynamical systems ⋮ Directions for structurally stable flows on surfaces via rotation vectors ⋮ Equivalence of closed 1-forms on closed nonorientable surfaces ⋮ Realization of a closed 1-form on closed oriented surfaces ⋮ Dynamics of conformal foliations ⋮ Transitive flows on orientable surfaces ⋮ Structural stability and asymptotic behavior of invariant manifolds of \(A\)-diffeomorphisms of surfaces ⋮ Around Anosov-Weil Theory ⋮ Complete topological invariants of Morse-Smale flows and handle decompositions of 3-manifolds ⋮ On detachable maps and flows ⋮ Qualitative theory of flows on surfaces (a review) ⋮ Qualitative theory of foliations on closed surfaces ⋮ Global dynamics of Morse-Smale systems ⋮ Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields