Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2003-04-09
Nonlinear Sciences
Exactly Solvable and Integrable Systems
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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