摘要
研究一般线性动力系统何时转化为线性自治Birkhoff动力系统的问题 ,给出线性自治Birkhoff动力系统与线性自治Hamilton动力系统等价性的定理 ,并推导出 2n维线性动力系统转化为线性自治Birkhoff动力系统条件 ,通过运用若当形对转化条件进行分析 。
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.
出处
《北京大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第3期309-315,共7页
Acta Scientiarum Naturalium Universitatis Pekinensis
基金
国家自然科学基金 ( 19990 5 10,10 0 2 5 2 12 )
教育部骨干教师基金资助项目
