Noether theorem and its inverse for nonstandard generalized Chaplygin systems

被引：1
|
作者：
Jin, S. X. [1 ]
Li, Y. M. [2 ]
Chen, X. W. [2 ]
机构：
[1] Shangqiu Normal Univ, Sch Math & Stat, Shangqiu 476000, Henan, Peoples R China
[2] Shangqiu Normal Univ, Sch Phys & Informat Engn, Shangqiu 476000, Henan, Peoples R China
来源：
ACTA MECHANICA | 2024年 / 235卷 / 02期
基金：
中国国家自然科学基金;
关键词：
CONSERVED QUANTITIES; SYMMETRIES;
D O I：
10.1007/s00707-023-03812-y
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this paper, the Noether theorems and their inverse theorems for generalized Chaplygin systems with two types of nonstandard Lagrangians, related to exponential and power-law Lagrangian, are explored and presented. The variational principles for the Chaplygin systems with nonstandard Lagrangian are derived, and the generalized Chaplygin equations for the corresponding systems are established, the Noether transformations are considered, from which the corresponding conserved quantities are deduced. And their inverse theorems for nonstandard generalized Chaplygin systems are given. Two examples show the validity of the results.
引用
收藏
页码：1361 / 1373
页数：13
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