Two-system of a Hamiltonian system
动力系统
2007-05-23 v1 数学物理
math.MP
辛几何
摘要
For a Hamiltonian system in R^{2n}, its two-system is defined in the phase space R^{2n} x sp(2n,R). In a sense, it is a combination of the original system and its system in variations with feedback. We study the Hamiltonian forms of the two-system and its analogs. In particular, we show a relation between the Poisson-Lie bracket on the (dual space to) Lie algebra sp(2n,R) and the canonical bracket.
引用
@article{arxiv.math/0410237,
title = {Two-system of a Hamiltonian system},
author = {M. F. Kondratieva and S. Yu. Sadov},
journal= {arXiv preprint arXiv:math/0410237},
year = {2007}
}
备注
9 pp., part I of preprint Keldysh Inst. Appl. Math. (Moscow), 2004