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广义Birkhoff系统的积分不变量
  • 期刊名称：物理学报，2008，57(8): 4657-4659
  • 时间：0
  • 分类：O316[理学—一般力学与力学基础;理学—力学] TQ522.15[化学工程—煤化学工程]
  • 作者机构：[1]北京理工大学力学系,北京100081, [2]杭州师范大学理学院,杭州310018
  • 相关基金：国家自然科学基金（批准号：10572021,10772025）和高等学校博士学科点专项科研基金（批准号：20040007022）资助的课题.
  • 相关项目：约束力学系统的两类对称性与广义Birkhoff系统动力学
关键词： 广义Birkhoff方程, 线性积分不变量, 通用积分不变量, 二阶绝对积分不变量, generalized Birkhoff system,linear integral invariant,universal integral invariant,second-order absolute integral invariant
中文摘要：

研究广义Birkhoff系统的积分不变量.给出系统存在积分不变量的条件,在此条件下导出系统的线性积分不变量、通用积分不变量和二阶绝对积分不变量.举例说明结果的应用.

英文摘要：

Integral invariants of a generalized Birkhoff system are studied in this paper.The condition under which the integral invariants exist in the system is given.A linear integral invariant,a universal integral invariant and an absolute integral invariant of second order of the system are obtained under the given condition.An example is given to illustrate the application of the result.

同期刊论文项目
微分方程的分析力学方法
期刊论文 102 会议论文 11
约束力学系统的两类对称性与广义Birkhoff系统动力学
期刊论文 66 会议论文 2 著作 1
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