EI、Scopus 收录
中文核心期刊
赵跃宇. 非保守力学系统的Lie对称性和守恒量[J]. 力学学报, 1994, 26(3): 380-384. DOI: 10.6052/0459-1879-1994-3-1995-559
引用本文: 赵跃宇. 非保守力学系统的Lie对称性和守恒量[J]. 力学学报, 1994, 26(3): 380-384. DOI: 10.6052/0459-1879-1994-3-1995-559
CONSERVATVE QUANTITIES AND LIE'S SYMMETRIES OF NONCONSERVATIVE DYNAMICAL SYSTEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(3): 380-384. DOI: 10.6052/0459-1879-1994-3-1995-559
Citation: CONSERVATVE QUANTITIES AND LIE'S SYMMETRIES OF NONCONSERVATIVE DYNAMICAL SYSTEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(3): 380-384. DOI: 10.6052/0459-1879-1994-3-1995-559

非保守力学系统的Lie对称性和守恒量

CONSERVATVE QUANTITIES AND LIE'S SYMMETRIES OF NONCONSERVATIVE DYNAMICAL SYSTEMS

  • 摘要: 本文讨论非保守力学系统的Lie对称性,给出由Lie对称性得到力学系统守恒量的条件,并给出了说明性的例子,在文章最后,还说明对于非保守系统,它的Noether对称性并不一定是其自身的Lie对称性。

     

    Abstract: This paper discusses Lie’s symmetry of nonconservative mechanical sys-tems. The existence conditions of conservative quantities corresponding with Lie's symmetryare est ablished. Two illustrative examples are given. Finally, we explain from an examplethat Noether's symmetry may not be Lie's symmetry for nonconservative mechanical system.

     

/

返回文章
返回