Periodic first integrals for Hamiltonian systems of Lie type
Mathematical Physics
2015-05-18 v1 Dynamical Systems
math.MP
Abstract
We prove the existence of a Lie algebra of first integrals for time dependent Hamiltonian systems of Lie type. Moreover, applying the Floquet theory for periodic Euler systems on Lie algebras, we show the existence of an abelian Lie algebra of periodic first integrals for periodic Hamiltonian systems. An application to the dynamics of a nonlinear oscillator is given.
Keywords
Cite
@article{arxiv.1004.1132,
title = {Periodic first integrals for Hamiltonian systems of Lie type},
author = {Ruben Flores-Espinoza},
journal= {arXiv preprint arXiv:1004.1132},
year = {2015}
}