Invariant manifolds near a minimizer

DOI10.1016/J.JDE.2007.04.011zbMath1128.34031OpenAlexW1970635380MaRDI QIDQ996244

Antonio J. Ureña

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.04.011

zbMATH Keywords

isolated minimizers

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Invariant manifolds for ordinary differential equations (34C45)

Related Items (1)

Invariant manifolds around equilibria of Newtonian equations: some pathological examples

Cites Work

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• Isolated periodic minima are unstable
• A dynamical property of homeomorphisms of the plane in the neighborhood of a fixed point of index \(>1\)
• The index of Lyapunov stable fixed points in two dimensions
• A bound for the fixed point index of area-preserving homeomorphisms of two-manifolds
• Stable curves asymptotic to a degenerate fixed point
• Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
• A stable/unstable manifold theorem for local homeomorphisms of the plane

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