摘要
ThispaperfocusesonthestudyoflocalizedLiesymmetriesundertheinfinitesimaltransformationofaninfinitecontinuousgroupforthefinite-degree-of-freedomsystems.Basedonaninvarianceofdifferentialequationunderaninfinitesimaltransformation,wepresentthelocalizedLiesymmetriesincludingdirectandinverseproblemsforthefinitedegree-of-freedommechanicalsystems.Wealsogivethedefinitions,determiningequations,structuralequationandconservedlawsoflocalizedLiesymmetries,andfurther,theLiesymmetriesundertheinfinitesimaltransformationofafinitecontinuousgroupderivedfromlocalizedLiesymmetry.Finally,anexampleisdiscussedtoillustratetheseresults.
出版日期
2005年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)