Reduction of Chaplygin equations for nonholonomic systems on time scales by means of the cyclic integral and energy integral

被引：2
|
作者：
Shi-Xin, Jin [2 ,3 ]
Yi, Zhang [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：
CHINESE JOURNAL OF PHYSICS | 2018年 / 56卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Chaplygin system; Cyclic integral; Energy integral; Reduction; Time scales; BIRKHOFFIAN SYSTEMS; NOETHER SYMMETRIES; ROUTH METHOD; CALCULUS; THEOREM; DELAY;
D O I：
10.1016/j.cjph.2018.09.035
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the reduction of the Chaplygin equations on lime scales by means of the cyclic integral and energy integral are proposed and studied. The cyclic integrals and generalized energy integrals for nonholonomic systems on lime scales are given. The Chaplygin equations on lime scales are reduced by means of the cyclic integrals and the generalized energy integrals. The results show that if the systems have a cyclic integral and an energy integral, then the Chaplygin equations on lime scales can be reduced by at least one degree and the form of the Chaplygin equations holds.
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页码：2731 / 2740
页数：10
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