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事件空间中单面非Chetaev型非完整系统Nielsen方程的Mei对称性与Mei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] TS762.2[轻工技术与工程—制浆造纸工程]
  • 作者机构：[1]江南大学理学院,无锡214122, [2]平顶山学院电气工程学院,平顶山467002, [3]浙江理工大学数学力学与数学物理研究所,杭州310018
  • 相关基金：国家自然科学基金（批准号：10572021）和江南大学预研基金（批准号：2008LYY011）资助的课题.
作者： 贾利群[1,2], 张耀宇[2], 罗绍凯[3], 崔金超[1]
关键词： 事件空间, NIELSEN方程, 单面非Chetaev型非完整系统, Mei守恒量, event space,Nielsen equation,nonholonomic system of unilateral non-Chetaev＇s type,Mei conserved quantity
中文摘要：

研究事件空间中单面非Chetaev型非完整系统Nielsen方程的Mei对称性和Mei守恒量.建立系统的运动微分方程,给出系统Mei对称性、弱Mei对称性、强Mei对称性的定义和判据,得到由Mei对称性直接导致的Mei守恒量的存在条件以及Mei守恒量的表达式.举例说明结果的应用.

英文摘要：

Mei symmetry and Mei conserved quantity of Nielsen equations for a nonholonomic system of unilateral nonChetaev＇s type in the event space are studied.The differential equations of motion for the system are established.The definition and the criteria of Mei symmetry,loose Mei symmetry and strict Mei symmetry for the system are respectively given.The existence condition and the expression of Mei conserved quantity deduced directly from Mei symmetry 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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  • 美国化学文摘（网络版）,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:49876