简介：TheexistenceofatleasttwohomoclinicorbitsforLagrangiansystem(LS)isproved,wheretheLagrangianL(t,x,y)=1/2∑aij（x）yiyi-V(t1x),inwhichthepotentialV(t,x)isgloballysurperquadraticinxandT-periodicint.TheConcentration-CompactnessLemmaandMinimaxargumentareusedtoprovetheexistences.

简介：Inthispaper,thescrewtransformationsarediscussedindetailandtheirmatricesaregiven.BasedonLagrangianequations,anewmethodformodellingthedy-namicbehaviorofrobotsispresented.Thederivationissimple,andtheconfigurationofthemodelisconcise.Allthecoefficientsarecalculatedinsimplerecursiveway,whichcanbeeasilyprogrammedincomputation.Themethodpresentedcanalsobeusedinthedy-namicandthekinematicstudyofspatialmechanisms.

简介：WeintroducetheEuler-LagrangecohomologytostudythesymplecticandmultisymplecticstructuresandtheirpreservingpropertiesinfiniteandinfinitedimensionalLagrangiansystemsrespectively.WealsoexploretheircertaindifferencediscretecounterpartsintherelevantregularlydiscretizedfiniteandinfinitedimensionalLagrangiansystemsbymeansofthedifferencediscretevariationalprinciplewiththedifferencebeingregardedasanentiregeometricobjectandthenoncommutativedifferentialcalculusonregularlattice.InordertoshowthatinallthesecasesthesymplecticandmultisymplecticpreservingpropertiesdonotnecessarilydependontherelevantEuler-Lagrangeequations,theEuler-Lagrangecohomologicalconceptsandcontentintheconfigurationspaceareemployed.``

简介：Inthispaper,wehavesuggestedseveralinterpolatingformulaewhichareconvinientforvectorcom-puterstoperformvectorcalculation.Analysisshowsthatforasimpleadvectiveproblem,thesemi-Lagrangianschemesconstructedwiththeseformulaearelinearlyunconditionallystable.Moreover,wehavediscussedthenonlinearcomputationalchaosinthesemi-Lagrangianschemes.Itisfoundthatforasimplenonlinearadvectiveproblem,wecanintroducephysicallyunrealanddirectinteractionofthreeormorewaves.Nu-mericaltestsindicatethatthisphenomenonhascertaininfluenceonthesimulatedresultsoftwo-dimensionalBenardconvection.

简介：Becauseofshoaling,refraction,friction,andothereffects,asurface-wavepropagatingonagentlyslopingbottomofslopewilleventuallybreak.Inthispaper,bynonlinearizingtheproblemandusingaperturbationmethod,ananalyticalsolutionforthevelocitypotentialisderivedtothesecondorderforthebottomslopeαandthewavesteepnessεinaEuleriansystem.Then,thewaveprofileandthebreakingwavecharacteristicsarefoundbytransformingtheflowfieldintoaLagrangiansystem.Byuseofthekinematicstabilityparameter(K.S.P.),newtheoreticalbreakercharacteristicsarederived.Thus,thelineartheoriesofotherscholarsareextendedtobreakingwaves.AComparisonofthepresentanalyticalsolutionwithexperimentalstudiesofotherscholarsshowsreasonableagreementexceptthatthebreakingdepthisunderestimated.

简介：Inthispaper,atwo-dimensional(2-D)Lagrangiantechniqueforflowfieldmeasurementunderhighdynamicpressureispresented,whichincludesasetofexperimentaldeviceand2-DLagrangecompositemanganin-constantanringgages.Withthiskindofgage,thehistoriesofpressureandradialdisplacementcanbemeasuredsimultaneouslyatdifferentLagrangepositionsinanaxisymmetricshockloadingflowfield.Thetechniquehassomeadvantagesoverthe1-Done,suchas,simplifiedloadingdevice,continuouslyadjust-ableoutputpressure,norestrictiononsamplelengthandtheavailabilityforthestudyoflateralrarefactioninshockpropogation.Asapreliminaryapplication,theprocessesof2-DshockinitiationandattenuationincompactedTNTaremeasured.

简介：基于无穷小并且一参数转变，三顺序的Lagrangian方程的谎言对称的问题被学习了。在谎言转变下面，使Lagrangian方程三顺序未改变的足够、必要的条件并且不变在这篇论文被获得。

简介：基于低精力QCDLagrangian质子上的理论和交叉对称关系，奇怪的介子相片生产和它的联系放射的俘获reinvestigated在[SU_(SF)(6)直接XO(3)]_(sym)。工具条的DirectXSU_C(3)夸克模型有一个仅仅一样的输入参数的那里的结构，唯一的强壮的联合常数α_M。为生气的节，γ+p→K~++Λ反应的p极化和为有Y=Λ的K~-+p→γ+Y的K~放射的俘获的分叉的比率的计算，Σ~0被执行。到数据的好协议被获得，结果证明与传统的现象学的模型相比，低energyQCDLagrangian理论提供对奇怪的mesonphoto生产和它的联系放射的俘获的成功的、统一描述。