摘要
Thispaperstudiesconformalinvarianceandconservedquantityofthird-orderLagrangeequationsfornonconservedmechanicalsystems.Third-orderLagrangeequations,thedefinitionandadeterminingequationofconformalinvarianceofthesystemarepresented.TheconformalfactorexpressionisdeducedfromconformalinvarianceandLiesymmetry.ThenecessaryandsufficientconditionthatconformalinvarianceofthesystemwouldhaveLiesymmetryundersingle-parameterinfinitesimaltransformationsisobtained.Thecorrespondingconservedquantityofconformalinvarianceisderivedwiththeaidofastructureequation.Lastly,anexampleisgiventoillustratetheapplicationoftheresults.
出版日期
2009年11月21日(中国期刊网平台首次上网日期,不代表论文的发表时间)