Resonant normal forms, interpolating Hamiltonians and stability analysis of area preserving maps

DOI10.1016/0167-2789(93)90249-ZzbMath0786.34036OpenAlexW1972323860MaRDI QIDQ2366479

Armando Bazzani, Graziano Servizi, Giorgio Turchetti, Massimo Giovannozzi, Ezio Todesco

Publication date: 29 June 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90249-z

zbMATH Keywords

stabilitynormal formarea-preserving mapsgeometry of the orbitstime-independent interpolating Hamiltonian

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• Nekhoroshev estimate for isochronous non resonant symplectic maps
• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
• A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
• Singularities of normal forms and topology of orbits in area-preserving maps
• Numerical study of quadratic area-preserving mappings
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