Noether theorem for generalized Chaplygin system on time scales

被引：1
|
作者：
S. X. Jin
Y. Zhang
机构：
[1] Suzhou University of Science and Technology,College of Civil Engineering
[2] Shangqiu Normal University,School of Mathematics and Statistics
[3] Nanjing University of Science and Technology,School of Science
来源：
Indian Journal of Physics | 2019年 / 93卷
关键词：
Noether theorem; Conserved quantity; Generalized Chaplygin system; Time scales; 11.30.Na; 89.75.Da;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：883 / 890
页数：7
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