Dynamical Systems with Nontrivially Recurrent Invariant Manifolds
DOI10.1007/978-3-642-11456-4_29zbMath1253.37037OpenAlexW83292544MaRDI QIDQ2908444
Evgeny Zhuzhoma, Vyacheslav Z. Grines
Publication date: 5 September 2012
Published in: Dynamics, Games and Science I (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-11456-4_29
dynamical systemsinvariant manifoldsfoliationslaminationstopological classificationnontrivially recurrent invariant manifolds
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Invariant manifold theory for dynamical systems (37D10) Foliations in differential topology; geometric theory (57R30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Cites Work
- Global dynamics of Morse-Smale systems
- On the existence of codimension-one nonorientable expanding attractors
- Surface basic sets with wildly embedded supporting surfaces
- Classification of one-dimensional expanding attractors
- Foliations and laminations on hyperbolic surfaces
- The structure of flows exhibiting nontrivial recurrence on two- dimensional manifolds
- Structurally stable systems
- A proof of the \(C^ 1\) stability conjecture
- Topological classification of one-dimensional attractors and repellers of \(A\)-diffeomorphisms of surfaces by means of automorphisms of fundamental groups of supports
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- New attractors in hyperbolic dynamics
- Some new invariants of Morse-Smale diffeomorphisms of a surface
- On the homology of attractors
- Classification of expanding attractors: an example
- Structural stability of \(C^1\) diffeomorphisms
- Qualitative theory of foliations on closed surfaces
- A representation of one-dimensional attractors of \(A\)-diffeomorphisms by hyperbolic homeomorphisms
- Flows on 2-dimensional manifolds. An overview
- Classification of supertransitive 2-webs on surfaces
- Complete combinatorial invariants for conjugacy of hyperbolic attractors of diffeomorphisms of surfaces
- On structurally stable diffeomorphisms with expanding attractors or contracting repellers of codimension one.
- On the influence of the absolute on local and smooth properties of foliations and homeomorphisms with invariant foliations on closed surfaces.
- On topological classification of \(A\)-diffeomorphisms of surfaces
- On manifolds supporting quasi-Anosov diffeomorphisms
- The metric space of geodesic laminations on a surface. I
- Flows on closed surfaces and behavior of trajectories lifted to the universal covering plane
- Maier's theorems and geodesic laminations of surface flows
- Exact upper bounds for the number of one-dimensional basic sets of surface \(A\)-diffeomorphisms
- Structural stability and asymptotic behavior of invariant manifolds of \(A\)-diffeomorphisms of surfaces
- On surface attractors and repellers in 3-manifolds
- One-dimensional non-wandering sets
- Neighborhoods of hyperbolic sets
- Multiplications in solenoids as hyperbolic attractors
- Generalization of a construction of Antoine
- The Lyapunov dimension of a nowhere differentiable attracting torus
- A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc
- Embedding Circle-Like Continua in the Plane
- The ambient structure of expanding attractors I. Local triviality, tubular neighborhoods
- The Ambient Structure of Expanding Attractors II. Solenoids in 3-Manifolds
- The topological classification of cascades on closed two-dimensional manifolds
- Quasi-Anosov diffeomorphisms of 3-manifolds
- On the geometry of hyperbolic attractors of smooth cascades
- Strange Attractors of Uniform Flows
- ON THE BEHAVIOR IN THE EUCLIDEAN OR LOBACHEVSKY PLANE OF TRAJECTORIES THAT COVER TRAJECTORIES OF FLOWS ON CLOSED SURFACES. II
- On the geometry and dynamics of diffeomorphisms of surfaces
- Unknotting 𝑆¹ in 𝑆⁴
- HYPERBOLIC ATTRACTORS OF DIFFEOMORPHISMS
- THE TOPOLOGICAL CLASSIFICATION OF ORIENTABLE ATTRACTORS ON ANN-DIMENSIONAL TORUS
- ON HYPERBOLIC ATTRACTORS OF DIFFEOMORPHISMS (The non-orientable case)
- The Classification of Solenoids
- Transversely Wild Expanding Attractors
- SOURCES AND SINKS OFA-DIFFEOMORPHISMS OF SURFACES
- A Quasi-Anosov Diffeomorphism That is Not Anosov
- Quasi-Anosov Diffeomorphisms and Hyperbolic Manifolds
- ON THE REPRESENTATION OF MINIMAL SETS OF CURRENTS ON TWO-DIMENSIONAL MANIFOLDS BY GEODESICS
- Topological invariants for substitution tilings and their associated $C^\ast$-algebras
- On the topological classification of structurally stable diffeomorphisms of surfaces with one-dimensional attractors and repellers
- On continuity of geodesic frameworks of flows on surfaces
- How hyperbolic attractors determine their basins
- On non-orientable two-dimensional basic sets on 3-manifolds
- Locally Strange Hyperbolic Sets
- ON SOME INVARIANTS OF DYNAMICAL SYSTEMS ON TWO-DIMENSIONAL MANIFOLDS (NECESSARY AND SUFFICIENT CONDITIONS FOR THE TOPOLOGICAL EQUIVALENCE OF TRANSITIVE DYNAMICAL SYSTEMS)
- On the problem of topological classification of strange attractors of dynamical systems
- On structurally stable diffeomorphisms with codimension one expanding attractors
- ON THE STRUCTURE OF QUASIMINIMAL SETS OF FOLIATIONS ON SURFACES
- HYPERBOLIC ATTRACTORS OF DIFFEOMORPHISMS OF ORIENTABLE SURFACES
- Hyperbolic attractors of diffeomorphisms of orientable surfaces. Part 3. Classification algorithm
- n-Frames in Euclidean k-Space
- The Closing Lemma
- On Homotopy Tori II
- Differentiable dynamical systems
- On Codimension One Anosov Diffeomorphisms
- One-Dimensional Basic Sets in the Three-Sphere
- Periodic Points and Measures for Axiom a Diffeomorphisms
- THE TOPOLOGY OF BASIS SETS FOR SMALE DIFFEOMORPHISMS
- Expanding attractors
- Locally flat imbeddings of topological manifolds
- On Anosov-Weil problem
- Strange attractors with topologically simple basins
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Dynamical Systems with Nontrivially Recurrent Invariant Manifolds