Noether theorem for generalized Chaplygin system on time scales

被引：10

作者：

Jin, S. X. ^{[2
,3
]}

Zhang, Y. ^{[1
]}

机构：

[1] Suzhou Univ Sci & Technol, Coll Civil Engn, Suzhou 215011, Peoples R China

[2] Shangqiu Normal Univ, Sch Math & Stat, Shangqiu 476000, Peoples R China

[3] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

来源：

INDIAN JOURNAL OF PHYSICS | 2019年 / 93卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Noether theorem; Conserved quantity; Generalized Chaplygin system; Time scales; CONSERVED QUANTITIES; BIRKHOFFIAN SYSTEM; SYMMETRIES; CALCULUS; DELAY;

D O I：

10.1007/s12648-018-1345-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the Noether theorem for generalized Chaplygin system on time scales is proposed and studied. The generalized Chaplygin formula for nonholonomic system on time scales is derived. The Noether theorems for generalized Chaplygin system on time scales are established, and two special cases of the Noether theorems for continuous and discrete generalized Chaplygin systems are given. Finally, two examples are given to illustrate the applications of the results.

引用

页码：883 / 890

页数：8

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