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事件空间中非Chetaev型非完整约束系统的Hojman守恒量
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O316[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]江南大学理学院,无锡214122, [2]平顶山学院电气信息工程学院,平顶山467002, [3]商丘师范学院物理与信息工程系,商丘476000
  • 相关基金：国家自然科学基金（批准号：10572021,10372053）和江南大学211工程（批准号：0002246）资助的课题.
作者： 贾利群[1], 张耀宇[2], 郑世旺[3]
关键词： 事件空间, 非Chetaev型非完整约束系统, 对称性, Hojman守恒量, event space, non-Chetaev nonholonomic constraints system, symmetry, Hojman conserved quantity
中文摘要：

研究了事件空间中非Chetaev型非完整约束系统由特殊的Lie对称性、Noether对称性和Mei对称性导致的Hojman守恒量．建立了系统的运动微分方程．给出了Lie对称性、Noether对称性和Mei对称性的判据，研究了三种对称性间的关系．将Hojman定理推广并应用于事件空间中的非Chetaev型非完整约束系统，得到Hojman守恒量．并举出一例说明结论的应用．

英文摘要：

Hojman conserved quantities deduced by using the special Lie symmetry, the Noether symmetry and the Mei symmetry for systems with non-Chetaev nonholonomic constraints in the event space are studied. First, the differential equations of motion for the above systems are established. Second, the criterion of the Lie symmetry, the Noether symmetry, the Mei symmetry and the relation between them are obtained. Third, the conservation law obtained by Hojman is generalized and applied to the systems, and Hojman conserved quantities are obtained. An example is given to illustrate the application of the results.

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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 被引量:49876