The Closing Lemma for Generalized Recurrence in the Plane
From MaRDI portal
Publication:3793027
DOI10.2307/2000955zbMath0648.34059OpenAlexW4234482084WikidataQ125025915 ScholiaQ125025915MaRDI QIDQ3793027
Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2000955
Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Ordinary differential equations and systems on manifolds (34C40) Dynamical systems and ergodic theory (37-XX)
Related Items (8)
Prolongational centers and their depths ⋮ Systems of differential equations that are competitive or cooperative. VI: A localCrClosing Lemma for 3-dimensional systems ⋮ Closing lemmas ⋮ Is every pseudo-orbit of some homeomorphism near an exact orbit of a nearby homeomorphism? ⋮ The generalized recurrent set and strong chain recurrence ⋮ The Planar Closing Lemma for Chain Recurrence ⋮ Qualitative theory of flows on surfaces (a review) ⋮ Strengthening the \(C^r\)-closing lemma for dynamical systems and foliations on the torus
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structural stability on two-dimensional manifolds
- The \(C^ 1\) connecting lemma
- Against the \(C^2\) closing lemma
- Singularities of vector fields on the plane
- An ergodic closing lemma
- Generic one-parameter families of vector fields on two-dimensional manifolds
- On stability of dynamical systems on open manifolds
- On an approximation theorem of Kupka and Smale
- Structurally stable systems on open manifolds are never dense
- The C1 Closing Lemma, including Hamiltonians
- Global structural stability of flows on open surfaces
- Explosions in Completely Unstable Flows. I Preventing Explosions
- Explosions in Completely Unstable Flows. II Some Examples
- The Planar Closing Lemma for Chain Recurrence
- The Closing Lemma
- An Improved Closing Lemma and a General Density Theorem
- Sur les courbes définies par les équations différentielles dans l'espace à $m$ dimensions
This page was built for publication: The Closing Lemma for Generalized Recurrence in the Plane