四川大学学报（自然科学版）2017，Vol.54Issue(3)：535-540,6.DOI:10.3969/j.issn.0490-6756.2017.03.018
El-Nabulsi模型下非标准Lagrange函数的动力学系统的Noether定理
Noether theorems for dynamical systems with non-standard Lagrangians based on El-Nabulsi models
摘要
Abstract
The Noether theorems for dynamical systems with non-standard Lagrangians based on ElNabulsi models are studied.The Hamilton principles with exponential Lagrangians and power law Lagrangians are established respectively,and the Euler-Lagrange equations of the systems are obtained.The formulation of the conditions of Noether (quasi-) symmetrical transformations are given in terms of invariance of Hamilton action under infinitesimal transformation,the Noether theorems of dynamical systems with non-standard Lagrangians are established.At the end of the article,two examples are given to illustrate the application of the results.关键词
非标准Lagrange函数/Hamilton原理/Noether定理/El-Nabulsi模型Key words
Non-standard Lagrangians/Hamilton principle/Noether theorem/El-Nabulsi model分类
数理科学引用本文复制引用
周小三,张毅..El-Nabulsi模型下非标准Lagrange函数的动力学系统的Noether定理[J].四川大学学报（自然科学版）,2017,54(3):535-540,6.基金项目
国家自然科学基金(10972151,11272227,11572212) （10972151,11272227,11572212）
