A note on uniqueness of the normal form for quasi-integrable systems

DOI10.1007/BF00424367zbMath0768.58043MaRDI QIDQ1205934

Jan Herczyński

Publication date: 1 April 1993

Published in: Meccanica (Search for Journal in Brave)

zbMATH Keywords

trigonometric polynomialsHamiltonian perturbation theoryformal power seriesmeasure zeroFourier componentsLie algorithmquasi-integrable systems

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05)

Related Items (2)

Semiclassical estimates for Weyl quantisation ⋮ Unnamed Item

Cites Work

• Regular and stochastic motion
• A relation between Giorgilli-Galgani's and Deprit's algorithms
• The uniqueness of normal forms via Lie transforms and its applications to Hamiltonian systems
• Equivalence of the generalized Lie-Hori method and the method of averaging
• Formal integrals for an autonomous Hamiltonian system near an equilibrium point
• Canonical transformations depending on a small parameter
• Kruskal's Perturbation Method
• The equivalence of von Zeipel mappings and Lie transforms
• On a perturbation theory using Lie transforms
• Explicit recursive algorithms for the construction of equivalent canonical transformations

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