Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials
arXiv:nlin/0304009
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.
15pages, submitted to the Proceedings of the Workshop on Superintegrability in Classical and Quantum Systems. A minor correction is made on eq.(3.9)