中山大学学报（自然科学版）Issue(4)：56-61,6.
相空间中含时滞的非保守力学系统的 Noether 定理
Noether Theorem for Nonconservative Mechanical System with Time Delay in Phase Space
摘要
Abstract
The Noether symmetries and the conserved quantities for nonconservative mechanical systems with time delay in phase space are studied .Firstly, the Hamilton canonical equations with time delays for the non-conservative systems are established .Secondly , according to the generalized quasi-invariance of the Hamilton action with time delay in phase space under the infinitesimal transformations of groups , the definitions and criterion of the Noether generalized quasi-symmetric transformations with time delay in phase space are given .Lastly, the relationship between the Noether symmetries and the conserved quanti-ties with time delay in phase space are established .At the end , an example is given to illustrate the ap-plication of the results .关键词
非保守系统/Noether对称性/时滞/相空间/守恒量Key words
nonconservative system/Noether generalized quasi-symmetry/time delay/phase space/conserved quantity分类
力学引用本文复制引用
金世欣,张毅..相空间中含时滞的非保守力学系统的 Noether 定理[J].中山大学学报（自然科学版）,2014,(4):56-61,6.基金项目
国家自然科学基金资助项目（10972151，11272227）；苏州科技学院研究生科研创新计划资助项目 （）
