Multiple-parameter Lie transform

DOI10.1007/BF00619136zbMath0777.70008OpenAlexW1964905380MaRDI QIDQ1260989

M. K. M. Ahmed

Publication date: 29 August 1993

Published in: Earth, Moon, and Planets (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00619136

zbMATH Keywords

recursive algorithm\(n\) parametersone parameter casesingle small parameterthree parameters

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (1)

Extension of the Lie transform theory depending on a small parameter for multi-parametric dynamical systems

Cites Work

• A note on the integration of the equations of Lie-Deprit's method for unspecified canonical variables
• Two-parameter Lie transforms
• Equivalence for lie transforms
• Canonical transformations depending on a small parameter
• Expansion formulae in canonical transformations depending on a small parameter
• A new algorithm for the Lie transformation
• On a perturbation theory using Lie transforms
• Lie transforms and the Hamiltonization of non-Hamiltonian systems
• Perturbation method in the theory of nonlinear oscillations
• Unnamed Item

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