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

DOI10.1007/S40995-017-0195-ZzbMath1374.37090OpenAlexW2278817978MaRDI QIDQ1678731

F. A. Abd El-Salam

Publication date: 20 November 2017

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0195-z

zbMATH Keywords

generating functionLie transform\(N\)-small parameterscanonical perturbationsmulti-parametric dynamical systems

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Unnamed Item
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Multiple-parameter Lie transform
• Two-parameter Lie transforms
• Canonical transformations depending on a small parameter

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