Über die Existenz einer Normalform inhaltstreuer elliptischer Transformationen

DOI10.1007/BF01343073zbMath0084.19904MaRDI QIDQ770046

Helmut Rüssmann

Publication date: 1959

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

Full work available at URL: https://eudml.org/doc/160671

zbMATH Keywords

mechanics

Related Items (7)

Fixed points of elliptic reversible transformations with integrals ⋮ Levi-flat invariant sets of holomorphic symplectic mappings ⋮ A method for analytically representing area-preserving mappings ⋮ Divergent Birkhoff normal forms of real analytic area preserving maps ⋮ Isolated fixed points in celestial mechanics ⋮ Instability of an area-preserving polynomial mapping ⋮ Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation

Cites Work

• Über die Existenz einer Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• Vereinfachter beweis eines satzes von J. Moser

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