Quadratic integrals of linear Hamiltonian systems |
| |
Authors: | Hüseyin Koçak |
| |
Affiliation: | (1) Lefschetz Center for Dynamical Systems Division of Applied Mathematics, Brown University, 02912 Providence, RI, USA |
| |
Abstract: | Momentum mapping of an autonomous, real linear Hamiltonian system is determined by its set of quadratic integrals. Such a system can be identified with an element of the real symplectic algebra and its quadratic integrals correspond to the centralizer of this element inside the symplectic algebra. In this paper, using a new set of normal forms for the elements of the real symplectic algebra, we compute their centralizers explicitly.Research supported in part by the National Science Foundation under NSF-MCS 8205355. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|