Birkhoff's normalization

DOI10.1007/BF01228842zbMath0188.56502OpenAlexW1993343680MaRDI QIDQ5582936

No author found.

Publication date: 1969

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01228842

zbMATH Keywords

mechanics of particles and systems

Related Items (12)

Lie series and nonlinear ordinary differential equations ⋮ The uniqueness of normal forms via Lie transforms and its applications to Hamiltonian systems ⋮ Periodic orbits emanating from a resonant equilibrium ⋮ Non-quadratic additional conserved quantities in Birkhoff normal forms ⋮ An exact differential form to check analytical theories ⋮ On a perturbation theory using Lie transforms ⋮ Stability and motion in two degree-of-freedom hamiltonian systems for two-to-one commensurability ⋮ Simplification of weakly nonlinear systems and analysis of cardiac activity using them ⋮ Nonintegrability of the Problem of the Motion of an Ellipsoidal Body with a Fixed Point in a Flow of Particles ⋮ A generalization of Gröbner bases helps to compute singularity theory transformations ⋮ Lie series and invariant functions for analytic symplectic maps ⋮ First-order resonances in three-degrees-of-freedom systems

Cites Work

• Convergent series expansions for quasi-periodic motions
• Über die Existenz einer Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• Canonical transformations depending on a small parameter

This page was built for publication: Birkhoff's normalization