LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONCONSERVATIVE NONHOLONOMIC SYSTEMS IN PHASE SPACE 被引量：2

下载PDF

导出

摘要ＩｎｔｒｏｄｕｃｔｉｏｎＩｎ１９１８，Ｎｏｅｔｈｅｒ，Ａ．Ｅ．［１］ｉｎｄｉｃａｔｅｄｔｈａｔｔｈｅｒｅａｒｅｔｉｇｈｔｒｅｌａｔｉｏｎｓｂｅｔｗｅｎｔｈｅｓｙｍｍｅｔｒｉｅｓａｎｄｔｈｅｃｏｎｓｅｒｖｅｄｑｕａｎｔｉｔｉｅｓｏｆｄｙｎａｍｉｃａｌｓ...

作者刘荣万傅景礼

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第6期54-59,共6页 应用数学和力学（英文版）

分类号 O316 [理学—一般力学与力学基础]

引文网络
相关文献

同被引文献7

1梅凤翔.LIE SYMMETRIES AND CONSERVED QUANTITIES OF HOLONOMIC VARIABLE MASS SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),1999,20(6):48-53. 被引量：2
2赵跃宇,梅凤翔.关于力学系统的对称性与不变量[J].力学进展,1993,23(3):360-372. 被引量：81
3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. 被引量：77
4梅凤翔.利用 Jourdain 原理研究二阶非完整系统的守恒律[J].北京理工大学学报,1998,18(1):17-21. 被引量：27
5梅凤翔,吴润衡,张永发.非Четаев型非完整系统的Lie对称性与守恒量[J].力学学报,1998,30(4):468-474. 被引量：44
6梅凤翔.变质量完整力学系统的Lie对称与守恒量[J].应用数学和力学,1999,20(6):592-596. 被引量：19
7方建会.二阶非Четаев型非完整系统的守恒律[J].应用数学和力学,2000,21(7):755-758. 被引量：11

引证文献2

1FANG,Jian-hui(方建会).LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM[J].Applied Mathematics and Mechanics(English Edition),2002,23(9):1105-1110. 被引量：1
2方建会,赵嵩卿,焦志勇.THE LIE SYMMETRIES AND CONSERVED QUANTITIES OF VARIABLE-MASS NONHOLONOMIC SYSTEM OF NON-CHETAEV'S TYPE IN PHASE SPACE[J].Applied Mathematics and Mechanics(English Edition),2002,23(10):1215-1220.

二级引证文献1

1龙梓轩,张毅.Birkhoff系统Lie对称性逆问题的两种提法和解法[J].华东师范大学学报（自然科学版）,2012(3):49-55. 被引量：2

1乔永芬,岳庆文,董永安.NOETHER’S CONSERVATION LAWS OF HOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS IN GENERALIZED MECHANICS[J].Applied Mathematics and Mechanics(English Edition),1994,15(9):877-883. 被引量：2
2Liu Duan (Department of Applied Mechanics,Beijing Institute of Technology).CONSERVATION LAWS OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS[J].Acta Mechanica Sinica,1989,5(2):167-175. 被引量：1
3李树杰.PERIODIC SOLUTIONS FOR HAMILTONIANSYSTEMS IN A NONCONVEX POTENTIAL WELL[J].Acta Mathematica Scientia,1992,12(2):171-178.
4Liu Duan Luo Yong (Beijing Institute of Technology)Xin Shenyu (P.O.Box 22,Datong,Shanxi).ABOUT THE BASIC INTEGRAL VARIANTS OF HOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS[J].Acta Mechanica Sinica,1991,7(2):178-185. 被引量：3
5方建会,张斌,张伟伟,徐瑞莉.Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system[J].Chinese Physics B,2012,21(5):11-14.
6刘翠梅,吴润衡,傅景礼.Lie symmetry algebra of one-dimensional nonconservative dynamical systems[J].Chinese Physics B,2007,16(9):2665-2670. 被引量：1
7张毅.A new type of adiabatic invariants for nonconservative systems of generalized classical mechanics[J].Chinese Physics B,2006,15(9):1935-1940. 被引量：8
8Mei Fengxiang (Beijing Institute of Technology).PARAMETRIC EQUATIONS OF NONHOLONOMIC NONCONSERVATIVE SYSTEMS IN THE EVENT SPACE AND THE METHOD OF THEIR INTEGRATION[J].Acta Mechanica Sinica,1990,6(2):160-168. 被引量：10
9乔永芬,张耀良,等.Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics[J].Chinese Physics B,2002,11(10):988-992. 被引量：15

Applied Mathematics and Mechanics(English Edition)

1999年第6期

浏览历史

内容加载中请稍等...

LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONCONSERVATIVE NONHOLONOMIC SYSTEMS IN PHASE SPACE 被引量：2

同被引文献7

引证文献2

二级引证文献1

相关作者

相关机构

相关主题

浏览历史