Dynamical systems on 2- and 3-manifolds
From MaRDI portal
Publication:310893
DOI10.1007/978-3-319-44847-3zbMath1417.37018OpenAlexW2552342622MaRDI QIDQ310893
Olga V. Pochinka, Timur V. Medvedev, Vyacheslav Z. Grines
Publication date: 8 September 2016
Published in: Developments in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-44847-3
Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Smooth dynamical systems: general theory (37Cxx) Topological dynamics (37Bxx) Low-dimensional dynamical systems (37Exx) Topological manifolds (57Nxx)
Related Items
Classification of suspensions over cartesian products of orientation-reversing diffeomorphisms of a circle, On existence of an energy function for \(\Omega\)-stable surface diffeomorphisms, On the topological classification of structurally stable diffeomorphisms on 3-manifolds with a 2-dimensional expanding attractor, Components of stable isotopy connectedness of Morse-Smale diffeomorphisms, Ellipticity of Operators Associated with Morse–Smale Diffeomorphisms, On decomposition of ambient surfaces admitting \(A\)-diffeomorphisms with non-trivial attractors and repellers, The wild Fox–Artin arc in invariant sets of dynamical systems, Bifurcations changing the homotopy type of the closure of an invariant saddle manifold of a surface diffeomorphism, Unnamed Item, Topological classification of \(\Omega\)-stable flows on surfaces by means of effectively distinguishable multigraphs, Dynamical systems and topology of magnetic fields in conducting medium, A multicolour graph as a complete topological invariant for $ \Omega$-stable flows without periodic trajectories on surfaces, Realization of Morse-Smale diffeomorphisms on 3-manifolds, On the structure of the ambient manifold for Morse-Smale systems without heteroclinic intersections, Nonautonomous gradient-like vector fields on the circle: classification, structural stability and autonomization, The dynamical core of a homoclinic orbit, Scenario of a simple transition from a structurally stable 3-diffeomorphism with a two-dimensional expanding attractor to a DA diffeomorphism, On the topological structure of manifolds supporting axiom a systems, Morse-Smale inequalities and Chafee-Infante attractors, Link as a complete invariant of Morse-Smale 3-diffeomorphisms, Criterion for the existence of an energy function for a regular homeomorphism of the 3-sphere, Perturbations of nonhyperbolic algebraic automorphisms of the 2-torus, Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers, On a Classification of Periodic Maps on the 2-Torus, There are no structural stable axiom a 3-diffeomorphisms with dynamics ``one-dimensional surfaced attractor-repeller, On a structure of non-wandering set of an \(\Omega\)-stable 3-diffeomorphism possessing a hyperbolic attractor, Topology of Ambient 3-Manifolds of Non-Singular Flows with Twisted Saddle Orbit, A Morse energy function for topological flows with finite hyperbolic chain recurrent sets, Bifurcation of a disappearance of a non-compact heteroclinic curve, Circular Fleitas scheme for gradient-like flows on the surface, Polynomial entropy of Morse-Smale diffeomorphisms on surfaces, Bicolor Graph of Morse-Smale Cascades on Manifolds of Dimension Three, Combinatorial invariant of Morse-Smale diffeomorphisms on surfaces with orientable heteroclinic, Determination of the homotopy type of a Morse-Smale diffeomorphism on an orientable surface by a heteroclinic intersection, Minimizing the number of heteroclinic curves of a 3-diffeomorphism with fixed points with pairwise different Morse indices, Smale regular and chaotic A-homeomorphisms and A-diffeomorphisms, On a Class of Isotopic Connectivity of Gradient-like Maps of the 2-sphere with Saddles of Negative Orientation Type, Knot as a complete invariant of the diffeomorphism of surfaces with three periodic orbits, Morse-Smale surfaced diffeomorphisms with orientable heteroclinic, Criterion for the topological conjugacy of multi-dimensional gradient-like flows with no heteroclinic intersections on a sphere, Class of stable connectivity of source-sink diffeomorphism on two-dimensional sphere, A scenario of the homotopy type changing of the invariant saddle manifold closure, 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, The constructing of energy functions for \(\Omega \)-stable diffeomorphisms on 2- and 3-manifolds, Scenario of reconnection in the solar corona with a simple discretization, Dynamics of 3-homeomorphisms with two-dimensional attractors and repellers, On one-dimensional contracting repellers of \(A\)-endomorphisms of the 2-torus, Unnamed Item, Unnamed Item, On existence of Morse energy function for topological flows, On topological classification of Morse–Smale diffeomorphisms on the sphere S n (n > 3), Non-autonomous vector fields on $S^3$: simple dynamics and wild separatrices embedding, On topological classification of gradient-like flows on an \(n\)-sphere in the sense of topological conjugacy, On the solution of the 33rd Palis–Pugh problem for gradient-like diffeomorphisms of a 2-sphere, On the number of the classes of topological conjugacy of Pixton diffeomorphisms, An analog of Smale's theorem for homeomorphisms with regular dynamics, Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere, Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms, On algorithms that effectively distinguish gradient-like dynamics on surfaces, On gradient-like flows on Seifert manifolds, On embedding of arcs and circles in 3-manifolds and its application to dynamics of structurally stable 3-diffeomorhisms with two-dimensional expanding attractors, Classification of Morse–Smale systems and topological structure of the underlying manifolds, Construction of the Morse-Bott energy function for regular topological flows, 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, A combinatorial invariant of Morse-Smale diffeomorphisms without heteroclinic intersections on the sphere \(S^n\), \(n\geq 4\), Realization of homeomorphisms of surfaces of algebraically finite order by Morse-Smale diffeomorphisms with orientable heteroclinic intersection, Existence of an energy function for three-dimensional chaotic “sink-source” cascades, The Topological Classification of Diffeomorphisms of the Two-Dimensional Torus with an Orientable Attractor, Topological classification of Morse-Smale diffeomorphisms on \(3\)-manifolds, Combinatorial invariant for Morse–Smale diffeomorphisms on surfaces with orientable heteroclinic, On interrelations between trivial and nontrivial basic sets of structurally stable diffeomorphisms of surfaces, Omega-classification of Surface Diffeomorphisms Realizing Smale Diagrams