中山大学学报（自然科学版）2018，Vol.57Issue(2)：76-79,4.DOI:10.13471/j.cnki.acta.snus.2018.02.010
时间尺度上非Chetaev型非完整系统的Lie对称性及其守恒量
The Lie symmetry and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales
摘要
Abstract
The Lie symmetry and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales are studied.Firstly, the differential equations of motion for nonholonomic systems of non-Chetaev's type on time scales are given.Secondly,based on the invariance of differential equation under the infinitesimal transformations, the determinating equation is established and the restriction equations for nonholonomic systems of non-Chetaev's type are given.Then,the Lie theorem and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales are built.Finally,an example is given to illustrate the application of the results.关键词
时间尺度/非Chetaev型/非完整系统/Lie对称性/守恒量Key words
time scales/non-Chetaev's type/nonholonomic systems/Lie symmetry/conserved quantity分类
数理科学引用本文复制引用
林魏,朱建青..时间尺度上非Chetaev型非完整系统的Lie对称性及其守恒量[J].中山大学学报（自然科学版）,2018,57(2):76-79,4.基金项目
国家自然科学基金(11572212) （11572212）
苏州科技大学研究生科研创新计划(SKCX16_057) （SKCX16_057）
