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广义Birkhoff系统的时间积分定理
  • 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] O172[理学—数学;理学—基础数学]
  • 作者机构：[1]湖州师范学院物理系,湖州313000, [2]北京理工大学力学系,北京100081
  • 相关基金：国家自然科学基金（批准号：10572021）资助的课题.
作者： 葛伟宽[1], 梅凤翔[2]
关键词： 广义Birkhoff系统, 时间积分定理, 类能量方程, 变分原理, generalized Birkhoff system, time-integral theorem, power-like equation, variational principle
中文摘要：

研究了广义Birkhoff系统的时间积分定理.给出系统的时间积分等式,并由此等式导出类能量方程、类维里定理、一个积分变分原理和一个微分变分原理.

英文摘要：

The purpose of this paper is to study the time-integral theorems for a generalized Birkhoff system. A time-integral identity of the system is presented. A power-like equation, a Virial-like theorem, an integral variational principle and a differential variational principle for the system are deduced by using the time-integral identity.

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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