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