Reduction of polynomial Hamiltonians by the construction of formal integrals

DOI10.1088/0951-7715/13/4/303zbMath0959.70010OpenAlexW2042301878MaRDI QIDQ4508707

Publication date: 28 December 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/4/303

zbMATH Keywords

double-zero eigenvalue normalization procedure Lie transformation normal form theorem free particles in two dimensions non-semisimple \(1:1\) resonance

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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