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

Yoshio Uwano
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Abstract

In 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.

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Yoshio Uwano. 2003-05-14. Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials. https://arxiv.org/abs/nlin/0304009

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