北京大学学报（自然科学版）2003，Vol.39Issue(3)：309-315,7.
线性动力系统可化为线性自治Birkhoff动力系统的条件
A Condition of Transforming General Dynamical Systems into Linear Birkhoffian Dynamical Systems
摘要
Abstract
A condition of transforming general linear dynamical systems into linear Birkhoffian dynamical systems is studied.The condition and the procedure of transformation is given and proved.A theorem of the equivalence between linear Birkhoffian systems and linear Hamiltonian systems is given.According to the condition given by using the Jordan form,the non-degenerate condition of the Birkhoff tensor is analyzed from several aspects.关键词
线性动力系统/Birkhoff方程/Hamilton方程/若当形Key words
linear dynamical systems/Birkhoffian equations/Hamiltonian equations/Jordan form分类
数理科学引用本文复制引用
张兴武,黄克服,刘凯欣..线性动力系统可化为线性自治Birkhoff动力系统的条件[J].北京大学学报（自然科学版）,2003,39(3):309-315,7.基金项目
国家自然科学基金(19990510,10025212)和教育部骨干教师基金资助项目 （19990510,10025212）
