Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials

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dc.creatorUwano, Yoshio
dc.date2003-04-09
dc.date2003-05-14
dc.date.accessioned2026-07-07T05:34:39Z
dc.date.available2026-07-07T05:34:39Z
dc.descriptionIn this paper, separability of the perturbed two-dimensional isotropic harmonic oscillators with homogeneous polynomial potentials is characterized from their Birkhoff-Gustavson (BG) normalization, one of the conventional methods for non-integrable Hamiltonian systems.
dc.description15pages, submitted to the Proceedings of the Workshop on Superintegrability in Classical and Quantum Systems. A minor correction is made on eq.(3.9)
dc.identifierhttps://arxiv.org/abs/nlin/0304009
dc.identifierhttp://arxiv.org/abs/nlin/0304009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80450
dc.subjectExactly Solvable and Integrable Systems
dc.titleSeparability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials
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