The \(C^ 1\) connecting lemma

DOI10.1007/BF01048259zbMath0764.58030WikidataQ124892665 ScholiaQ124892665MaRDI QIDQ1199836

Charles C. Pugh

Publication date: 17 January 1993

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

recurrenceclosing lemmaconnecting lemmaflow plugprolongational recurrence

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (7)

On Peixoto’s conjecture for flows on non-orientable 2-manifolds ⋮ Closing lemmas ⋮ Homoclinic points in symplectic and volume-preserving diffeomorphisms ⋮ AC 1 make or break lemma ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4950754 Cr�ation de connexions en topologie C1 pour les flots des surfaces] ⋮ The Closing Lemma for Generalized Recurrence in the Plane ⋮ 𝐶¹ Connecting Lemmas

Cites Work

• On Morse-Smale approximations - a counterexample
• Structurally stable systems on open manifolds are never dense
• The C¹ Closing Lemma, including Hamiltonians
• The Planar Closing Lemma for Chain Recurrence
• The Closing Lemma

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