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

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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15pages, submitted to the Proceedings of the Workshop on Superintegrability in Classical and Quantum Systems. A minor correcti

Scientific paper

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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