Computation of Lie transformations from a power series: Bounds and optimum truncation

DOI10.1063/1.531520zbMath0864.58053arXivchao-dyn/9410011OpenAlexW2061459266MaRDI QIDQ5284286

Ivan Gjaja

Publication date: 6 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9410011

zbMATH Keywords

domain of analyticityLie transformationsinfinite productinfinitesimal form

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Cites Work

• Lie series method for vector fields and Hamiltonian perturbation theory
• Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory
• Factored Product Expansions of Solutions of Nonlinear Differential Equations
• Lie series and invariant functions for analytic symplectic maps
• Convergence of an infinite product of Lie transformations

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