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弱非完整系统的近似守恒量
  • 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] O327[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]湖州师范学院物理系,湖州313000
  • 相关基金：国家自然科学基金（批准号：10572021,10772025）资助的课题.
作者： 葛伟宽[1]
关键词： 弱非完整系统, Noether定理, 近似守恒量, weakly nonholonomic system, Noether theorem, approximate conserved quantity
中文摘要：

建立弱非完整系统的运动微分方程,其中包含小参数.将无限小变换的生成元和规范函数按小参数的幂级数展开并代入系统的广义Noether等式,利用Noether定理求得系统的近似守恒量.

英文摘要：

The differential equations of motion of a weakly nonholonomic system in which there is a small parameter are established.We develope the generators of infinitesimal transformations and the gauge function via the multiple power-series expansion of the parameter and substitute them into a generalized Noether identity.The Noether theorem is used to obtain an approximate conserved quantity.

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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