Dependency of the positive and negative long-time behaviors of flows on surfaces
DOI10.1016/j.jde.2023.06.008zbMath1528.37037arXiv2201.01020MaRDI QIDQ6102682
Publication date: 23 June 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01020
Poincaré-Bendixson theorem\( \omega \)-limit setlocally dense orbitnon-wandering flowtotally disconnectivity of singular points
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Stability theory for smooth dynamical systems (37C75) Flows on surfaces (37E35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems (37J12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smooth nonorientable nontrivial recurrence on two-manifolds
- Cocycles over interval exchange transformations and multivalued Hamiltonian flows
- Absence of mixing in area-preserving flows on surfaces
- Ergodic properties of infinite extensions of area-preserving flows
- Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields
- Topological and ergodic properties of closed 1-forms with incommensurable periods
- The Poincaré-Bendixson theorem on the Klein bottle for continuous vector fields
- A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces
- Limit sets and the Poincaré-Bendixson theorem in impulsive semidynamical systems
- A corollary of the Poincaré-Bendixson theorem and periodic canards
- The structure of flows exhibiting nontrivial recurrence on two- dimensional manifolds
- Differentiability and topology of labyrinths in the disc and annulus
- Structure of foliations on 2-manifolds
- Feuilletages des surfaces
- Minimal sets of families of vector fields on compact surfaces
- Flows on 2-dimensional manifolds. An overview
- The Poincaré-Bendixson theorems for two-dimensional semiflows
- Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems
- Solutions of the cohomological equation for area-preserving flows on compact surfaces of higher genus
- Accumulation points of nonrecurrent orbits of surface flows.
- Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
- Quantitative mixing for locally Hamiltonian flows with saddle loops on compact surfaces
- Some remarks on the \(\omega\)-limit sets for plane, sphere and projective plane analytic flows
- A topological characterization of the \(\omega\)-limit sets of analytic vector fields on open subsets of the sphere
- Local connectivity of limit sets
- Maier's theorems and geodesic laminations of surface flows
- Some applications of the Poincaré-Bendixson theorem
- A topological study of planar vector field singularities
- Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach
- A Poincaré-Bendixson theorem for translation lines and applications to prime ends
- A topological characterization of the \(\omega \)-limit sets for analytic flows on the plane, the sphere and the projective plane
- Application of the Poincaré-Bendixson theorem
- A generalization of the Poincaré-Bendixson theorem for foliations of codimension one
- Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders
- Ratner’s property and mild mixing for smooth flows on surfaces
- A topological characterization for non-wandering surface flows
- The Hamiltonian formalism and a many-valued analogue of Morse theory
- Introduction to the Geometry of Foliations, Part A
- Structural Stability for Flows on the Torus with a Cross-Cap
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
- On the self-similarity problem for smooth flows on orientable surfaces
- Flows without wandering points on compact connected surfaces
- Complete transition diagrams of generic Hamiltonian flows with a few heteroclinic orbits
- Flows with time-reversal symmetric limit sets on surfaces
- Local characterisation of local semi-dynamical systems
- The Poincare-Bendixson Theorem for the Klein Bottle
- A Generalization of a Poincare-Bendixson Theorem to Closed Two-Dimensional Manifolds
This page was built for publication: Dependency of the positive and negative long-time behaviors of flows on surfaces
