Singular reduction of axially symmetric perturbations of the isotropic harmonic oscillator

DOI10.1088/0951-7715/12/2/014zbMath0952.70017OpenAlexW2068501923MaRDI QIDQ4265699

Heinz Hanßmann, Sebastián Ferrer, Richard H. Cushman

Publication date: 11 January 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/12/2/014

zbMATH Keywords

truncationangular momentumphase spacenormalizationreduced dynamicsnonlinear perturbationintegrals of motiongalactic dynamicsisotropic harmonic oscillatorsymmetric Hamiltonian systemunperturbed Hamiltonianaxially symmetric perturbationsfull Hamiltoniannon-free group actionsingular symmetry reduction

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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