約束力學(xué)系統(tǒng)的Mei對(duì)稱(chēng)性與Mei守恒量.pdf

1、江南大學(xué)碩士學(xué)位論文約束力學(xué)系統(tǒng)的Mei對(duì)稱(chēng)性與Mei守恒量姓名：崔金超申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：賈利群20090601AbstractAbstractFocusingontheintegraltheoryofMeisymmetryforconstraintdynamicalsystems，mainlystudytheMeisymmetryandtheMeiconservedquantityinAppellsystems

2、andNielsensystemsInresentyears，mostoftheresearchesaboutsymmetriesandconservedquantitiesaremainlylimitedtothesituationaboutthebilateralconstraints[andaverylittleworkhasbeendonetothesituationabouttheunilateralconstraintsBe

3、sides，thestudyonbothsymmetryandconservedquantityinAppellstyleisveryslowIn2008，Jiaextendedthenewexpressionofthetotalderivativeoffunction麗廿lrespectivetotalongthecalrveofmotionofthesystemandfirstsolvedtheproblemhowtolookfor

4、thestructureequationandtheexpressionofMeiconservedquantitywhichCanbedenoted硒AppellfunctionButuptonowthenewmethodhaven’tgoteffecfiveextendedTherefore，theproblemofMeisymmetryofAppellequantionsstillneedtobefultherimprovedn塢

5、studyofthispaperimprovedtheproblemoftheMeisymmetryandMeiconservedquantityinNielsensystemsandmadeupshortagesinAppellfunctionWegottheimportantachievementsthatthepredecessorshavenotyetreceivedThcchaptersarearranged勰followin

6、g：Inchapter1，ageneraldiscussionofthehistoricaldevelopment舔wellasthecurrentresearchofthesymmetriesandconservedquantitiesathomeandabroadThesignificance，purposeandcontentoftheresearchofthispaperInchapter2，theauthorintroduce

7、sthebasicconceptandbasictheoryoftheresearchinthisarticleInchapter3，mainlystudytheMeisymmetryandMeiconservedquantityinNielsensystemsFirst，thedifferentialequationsofmofioninNielsensystemsareestablishedSecond，thedefinitions

8、andthecriterionequationsaregivenFinallythestructureequationofMeisymmetryandtheexpressionofMeiconservedquantityareachievedInchapter4，mainlystudytheMeisymmetryandMeiconservedquantityinAppellsystemsFirstAppellequationsandth

9、edifferentialequationsofmotionareestablishedSecond，anewexpressionofthetotalderivativeoffunctionwithrespectivetotaiongthecurveofmotionofthesystemsisgiven，andthedefinitionsofMeisymmetryofAppellequationsundertheinfinitesima

10、ltransformationsofgroupsareobtained，andthecriterionequationscorrespondingtothesystemsarealsogainedFinallythestructureequationofMeisymmetryandtheexpressionofMeiconservedquantityinAppellfunctionareextendedInchapter5，wesumm