On a relation among Lie series

DOI10.1007/BF00053041zbMath0685.70015OpenAlexW2099795777MaRDI QIDQ1262153

Francesco Fassoò

Publication date: 1989

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00053041

zbMATH Keywords

series expansionLie transformsDeprit's methodnon-autonomous flow

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (2)

High-order control for symplectic maps ⋮ Comparison between Deprit and Dragt-Finn perturbation methods

Cites Work

• Unnamed Item
• Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory
• A relation between Giorgilli-Galgani's and Deprit's algorithms
• Lie series and invariant functions for analytic symplectic maps
• Formal integrals for an autonomous Hamiltonian system near an equilibrium point
• Canonical transformations depending on a small parameter
• Expansion formulae in canonical transformations depending on a small parameter
• On a perturbation theory using Lie transforms

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