Strengthening the \(C^r\)-closing lemma for dynamical systems and foliations on the torus

DOI10.1007/BF02355407zbMath0915.58090OpenAlexW2067265386WikidataQ124848790 ScholiaQ124848790MaRDI QIDQ1274101

V. S. Medvedev, Samuel Kh. Aranson, Evgeny Zhuzhoma

Publication date: 5 July 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02355407

zbMATH Keywords

holonomy group2-torus\(C^r\)-closing lemmalattice \(\mathbb{Z}^k\)wandering chain recurrent trajectories

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (2)

Closing lemmas ⋮ Qualitative theory of flows on surfaces (a review)

Cites Work

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• Structural stability on two-dimensional manifolds
• On the theorem of Denjoy-Sacksteder for codimension one foliations without holonomy
• Against the \(C^2\) closing lemma
• Topological equivalence of Reeb foliations
• Note on differential equations on the torus
• A counter-example to a C² closing lemma
• The Closing Lemma for Generalized Recurrence in the Plane
• The Closing Lemma

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