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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：O320[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]浙江理工大学数学力学与数学物理研究所,杭州310018, [3]平顶山学院电气信息工程学院,平顶山467002
  • 相关基金：国家自然科学基金（批准号：10572021）资助的课题.
作者： 贾利群[1], 罗绍凯[2], 张耀宇[3]
关键词： 非完整系统, NIELSEN方程, Mei对称性, Mei守恒量, nonholonomic systems, Nielsen equation, Mei symmetry, Mei conserved quantity
中文摘要：

研究了Chetaev型非完整非保守系统带乘子的Nielsen方程的Mei对称性和Mei守恒量．对Chetaev型非完整非保守系统带乘子的Nielsen方程的运动微分方程、Mei对称性的定义和判据、Mei对称性直接导致的Me／守恒量的条件以及守恒量的形式进行了具体的研究．举例说明结果的应用．

英文摘要：

Mei symmetry and Mei conserved quantity of Nielsen equation with multipliers for a nonholonomic, non-conservative system of Chetaev＇ s type are studied. The differential equations of motion of Nielsen equation with multipliers for the system, the definition and criterion of Mei symmetry, and the condition and the form of Mei conserved quantity deduced directly by Mei symmetry for the system 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