El-Nabulsi模型下基于非标准Lagrange函数的动力学系统的Lie对称性与守恒量  

Lie symmetries and conserved quantities for dynamical systems with non-standard Lagrangians based on El-Nabulsi models

作　　者：周小三[1] 张毅[2] 

机构地区：[1]苏州科技大学数理学院,江苏苏州215009 [2]苏州科技大学土木工程学院,江苏苏州215011

出　　处：《苏州科技学院学报（自然科学版）》2016年第4期13-17,43,共6页Journal of Suzhou University of Science and Technology （Natural Science Edition）

基　　金：国家自然科学基金资助项目(11272227)

摘　　要：研究El-Nabulsi模型下基于非标准Lagrange函数的动力学系统的Lie对称性与守恒量。提出了基于非标准Lagrange函数的变分问题,得到了系统的Euler-Lagrange方程;由广义加速度的不变性,给出了基于非标准Lagrange函数的满足Lie对称性的确定方程,建立了结构方程与守恒量;并举例说明。We studied the Lie symmetries and conserved quantities of dynamical systems with non-standard La- grangians based on El-Nabulsi models. With the proposition of the variational problem with non-standard La- grangians, we obtained the Euler-Lagrange equations of the system. By the invariance of generalized acceleration, we gave the determining equations of Lie symmetries with non-standard Lagrangians, and established the structure equations and conserved quantities. Finally, two examples were given to illustrate the application of the results.

关 键 词：非标准Lagrange函数 LIE对称性 守恒量 El-Nabulsi模型 

分 类 号：O316[理学—一般力学与力学基础]