Conservation laws for Birkhoffian systems of Herglotz type

被引：0
|
作者：
张毅 [1 ]
田雪 [2 ]
机构：
[1] College of Civil Engineering, Suzhou University of Science and Technology
[2] College of Mathematics and Physics, Suzhou University of Science and Technology
来源：
Chinese Physics B | 2018年 / 09期
基金：
中国国家自然科学基金;
关键词：
Birkhoffian system; conversation law; differential variational principle; variational problem of Herglotz type;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
Conservation laws for the Birkhoffian system and the constrained Birkhoffian system of Herglotz type are studied. We propose a new differential variational principle, called the Pfaff-Birkhoff-d’Alembert principle of Herglotz type. Birkhoff’s equations for both the Birkhoffian system and the constrained Birkhoffian system of Herglotz type are obtained. According to the relationship between the isochronal variation and the nonisochronal variation, the conditions of the invariance for the Pfaff-Birkhoff-d’Alembert principle of Herglotz type are given. Then, the conserved quantities for the Birkhoffian system and the constrained Birkhoffian system of Herglotz type are deduced. Furthermore, the inverse theorems of the conservation theorems are also established.
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页码：227 / 233
页数：7
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