中山大学学报(自然科学版)2017，Vol.56Issue(3)：26-30,5.DOI:10.13471/j.cnki.acta.snus.2017.03.004
基于非标准Lagrange函数的动力学系统的Noether-Mei对称性与守恒量
Noether-Mei symmetry and conserved quantity for dynamical systems with non-standard Lagrangians
摘要
Abstract
This paper focuses on studying the Noether-Mei symmetry and the conserved quantity for dynamical systems with non-standard Lagrangians (exponential Lagrangians and power law Lagrangians).Firstly,The definition and the criteria of Noether-Mei symmetry for dynamical systems with non-standard Lagrangians are given.Secondly,The conditions that Noether-Mei symmetry leads to Noether conserved quantity or Mei conserved quantity and the form of conserved quantities are put forward.And four theorems for Noether-Mei symmetry and conserved quantities are established.Two examples are given to illustrate the application of the results.关键词
非标准Lagrange函数/Noether-Mei对称性/Noether守恒量/Mei守恒量Key words
non-standrad Lagrangian/Noether-Mei symmetry/Noether conserved quantity/Mei conserved quantity分类
力学引用本文复制引用
宋静,张毅..基于非标准Lagrange函数的动力学系统的Noether-Mei对称性与守恒量[J].中山大学学报(自然科学版),2017,56(3):26-30,5.基金项目
国家自然科学基金(11272227,11572212) （11272227,11572212）
苏州科技大学研究生科研创新计划(SKYCX16_12) （SKYCX16_12）
