Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory
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Publication:1262152
DOI10.1007/BF00945008zbMath0685.70014OpenAlexW2048367722MaRDI QIDQ1262152
Giancarlo Benettin, Francesco Fassoò
Publication date: 1989
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00945008
Lie transformsDiophantine frequenciesNekhoroshev-like exponential estimates for the stability timesperturbation theory for nearly integrable Hamiltonian systems
Stability for nonlinear problems in mechanics (70K20) Applications of Lie groups to the sciences; explicit representations (22E70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)
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Cites Work
- Stability of motions near resonances in quasi-integrable Hamiltonian systems
- A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
- Note on sums containing small divisors
- 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
- Perturbation method in the theory of nonlinear oscillations
