简介:Noether’stheoremrevealstheinnerconnectionbetweentheconservationlawsandthedynamicalsymmetryofdynamicalsystems.Intherecenttwent...
简介:INthepreviouspapersoftheauthor’s,theelementaryreactionoperatorconcerningpointgroupwasdiscussed.Inthispaper,morecomplexreactionoperatorswillbeanalysed.Byusingtheskillinreactionoperator,theelectrocyclicandcy-cloadditionreactionsareillustrated.
简介:InthepresentpapertheLiesymmetricalnon-NoetherconservedquantityofthePoincaré-ChetaevequationsunderthegeneralinfinitesimaltransformationsofLiegroupsisdiscussed.First,weestablishthedeterminingequationsofLiesymmetryoftheequations.Second,theLiesymmetricalnon-Noetherconservedquantityoftheequationsisdeduced.
简介:ThispaperisdevotedtostudyingtheconformalinvarianceandNoethersymmetryandLiesymmetryofaholonomicmechanicalsystemineventspace.Thedefinitionoftheconformalinvarianceandthecorrespondingconformalfactorsoftheholonomicsystemineventspacearegiven.ByinvestigatingtherelationbetweentheconformalinvarianceandtheNoethersymmetryandtheLiesymmetry,expressionsofconformalfactorsofthesystemunderthesecircumstancesareobtained,andtheNoetherconservedquantityandtheHojmanconservedquantitydirectlyderivedfromtheconformalinvariancearegiven.Twoexamplesaregiventoillustratetheapplicationoftheresults.
简介:介绍了对称广义拟向量平衡问题,并且通过非线性纯量函数,利用不动点定理,证明了对称广义拟向量平衡问题解的存在性定理.