Generalized Hamiltonian structures for Ermakov systems
数学物理
2009-11-07 v1 math.MP
摘要
We construct Poisson structures for Ermakov systems, using the Ermakov invariant as the Hamiltonian. Two classes of Poisson structures are obtained, one of them degenerate, in which case we derive the Casimir functions. In some situations, the existence of Casimir functions can give rise to superintegrable Ermakov systems. Finally, we characterize the cases where linearization of the equations of motion is possible.
引用
@article{arxiv.math-ph/0211033,
title = {Generalized Hamiltonian structures for Ermakov systems},
author = {F. Haas},
journal= {arXiv preprint arXiv:math-ph/0211033},
year = {2009}
}