南京理工大学学报（自然科学版）Issue(3)：409-413,5.
基于 El-Nabulsi 分数阶模型的广义 Birkhoff 系统Noether 对称性研究
Noether symmetries of generalized Birkhoff systems based on El-Nabulsi fractional model
摘要
Abstract
To further reveal the inner relationships between the symmetries and conserved quantities of mechanical systems,a Noether's theorem of generalized Birkhoff systems is proposed and studied based on El-Nabulsi fractional model. Firstly,a generalized El-Nabulsi-Pfaff-Birkhoff fractional principle is presented, and generalized El-Nabulsi-Birkhoff equations are established; secondly, based on the invariance of the El-Nabulsi-Pfaff action under the infinitesimal transformation,the definitions and criteria of the Noether symmetries of generalized Birkhoff fractional systems are given; finally, a Noether's theorem for generalized Birkhoff fractional systems is proposed. The research results may be applied to systems with holonomic or non-holonomic constraints.关键词
力学系统/对称性/守恒量/El-Nabulsi 分数阶模型/广义 Birkhoff 系统/Noether 定理/无限小变换/完整约束系统/非完整约束系统Key words
mechanical systems/symmetries/conserved quantities/El-Nabulsi fractional model/generalized Birkhoff systems/Noether's theorem/infinitesimal transformation/holonomic constraint systems/non-holonomic constraint systems分类
数理科学引用本文复制引用
张毅,丁金凤..基于 El-Nabulsi 分数阶模型的广义 Birkhoff 系统Noether 对称性研究[J].南京理工大学学报（自然科学版）,2014,(3):409-413,5.基金项目
国家自然科学基金(10972151 （）
11272227) （）
