摘要
分别就等时变分和非等时变分情形下讨论了自由Birkhoff系统和约束Birkhoff系统的积分不变量的构造.建立自由Birkhoff系统和约束Birkhoff系统的等时变分方程和非等时变分方程,研究系统的第一积分与积分不变量之间的关系,证明由系统的一个第一积分可以构造一个积分不变量.
The construction of integral invariants for free Birkhoffian system and constrainted Birkhoffian system under the simultaneous variation and the nonsimultaneous variation is discussed. The equations of simultaneous variation and nonsimultaneous variation for free Birkhoffian system and constrainted Birkhoffian system are given, the relation between the first integrals and the integral invariants of the system is studied, and it is proved that using a first integral we can construct an integral invariant of the system.
出处
《周口师范学院学报》
CAS
2004年第2期6-10,共5页
Journal of Zhoukou Normal University
基金
国家自然科学基金(10372053)
河南省自然科学基金(0311010900)
河南省高校青年骨干教师资助计划项目.
