非Hamilton的Birkhoff系统的Noether守恒量的计算  

Calculations on noether conserved quantities of the Non-Hamiltonian Birkhoffian system

作　　者：韩晓静[1] 王运滨[2] 

机构地区：[1]沈阳化工大学科亚学院基础部数理系,沈阳110167 [2]沈阳化工大学数理系,沈阳110142

出　　处：《齐齐哈尔大学学报（自然科学版）》2013年第3期82-85,共4页Journal of Qiqihar University(Natural Science Edition)

摘　　要：利用辛几何的方法研究了非Hamilton的Birkhoff系统的Noether对称性与守恒量,揭示了非Hamilton的Birkhoff系统的Noether对称性与守恒量之间的关系,最后举例计算,为积分理论的研究提供了新的方法。In this thesis, symplectic geometry is used to investigate the conserved quantities and symmetries of the Non-Hamiltonian Birkhoffian systems, hence the inner connection between the conserved quantities and the dynamical symmetries of the Non-Hamiltonian Birkhoffian system are revealed, at last,the corresponding Noether conserved quantities are deduced,which provides a new method to the study of integral theory.

关 键 词：非Hamilton BIRKHOFF系统 Noether对称性与守恒量 辛几何 

分 类 号：O316[理学—一般力学与力学基础]