Algebraic aspects of perturbation theories

DOI10.1007/BF01230403zbMath0426.34034OpenAlexW4251900446MaRDI QIDQ3861746

Franz Spirig

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf01230403

zbMATH Keywords

Lie seriesperturbation theory of nearly integrable systems

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

The uniqueness of normal forms via Lie transforms and its applications to Hamiltonian systems

Cites Work

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• Equivalence for lie transforms
• On a perturbation theory using Lie transforms
• Perturbation method in the theory of nonlinear oscillations
• The transformational behaviour of perturbation theories
• On the exponential solution of differential equations for a linear operator

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