Global surfaces of section in non-regular convex energy levels of Hamiltonian systems

DOI10.1007/s00209-006-0026-yzbMath1192.37090OpenAlexW2088163224WikidataQ121450385 ScholiaQ121450385MaRDI QIDQ970200

Pedro A. S. Salomão, Clodoaldo Grotta-Ragazzo

Publication date: 10 May 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0026-y

zbMATH Keywords

convexityHamiltonian systemssaddle-centerglobal surface of sectiontwo-degrees of freedom

Mathematics Subject Classification ID

Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

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Cites Work

• Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
• Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms
• Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom
• The dynamics on three-dimensional strictly convex energy surfaces
• On the stability of double homoclinic loops
• Strictly convex submanifolds and hypersurfaces of positive curvature.
• Convex energy levels of Hamiltonian systems
• The Conley-Zehnder index and the saddle-center equilibrium
• Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• On the generalization of a theorem of A. Liapounoff
• Irregular dynamics and homoclinic orbits to Hamiltonian saddle centers
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