A basic \(C^1\) perturbation theorem

DOI10.1006/JDEQ.1998.3511zbMath1031.37025OpenAlexW1969521743MaRDI QIDQ1293941

Lan Wen, Zhihong Xia

Publication date: 7 March 2004

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

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3511

zbMATH Keywords

\(C^1\) connecting lemma

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Area-preserving surface diffeomorphisms ⋮ Closing lemmas ⋮ \(C^r\)-closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle

Cites Work

• Unnamed Item
• Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
• Against the \(C^2\) closing lemma
• Homoclinic points in symplectic and volume-preserving diffeomorphisms
• On the \(C^ 1\) stability conjecture for flows
• The C¹ closing lemma for non-singular endomorphisms
• The C¹ Closing Lemma, including Hamiltonians
• The Closing Lemma
• Differentiable dynamical systems

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