简介：Alinearstabilityanalysisisperformedforaplumeflowinsideacylinderofaspectratio1.TheconfigurationisidenticaltothatusedbyLopezandMarques(2013)fortheirdirectnumericalsimulationstudy.Itisfoundthatthefirstbifurcation,whichleadstoaperiodicaxisymmetricflowstate,isaccuratelypredictedbylinearanalysis:boththecriticalRayleighnumberandtheglobalfrequencyareconsistentwiththereportedDNSresults.Itisfurthershownthatpressurefeedbackdrivestheglobalmode,ratherthanabsoluteinstability.

简介：某些疾病被知道引起变化在物理并且房间的biomechanical性质。这些在其它之中包括癌症，疟疾，和镰刀房间贫血症。典型地，如此的物理性质变化能导致房间僵硬的几褶层增加或减少，它是重要的并且能导致严重病理和最终的灾难的故障身体功能。当有时开发了生物化学、生物的试金检测疾病的发作或存在，总是有需要开发更快速、精确、敏感的方法检测并且诊断疾病。Biomechanical性质变化能起一个重要作用在这方面。因此，对疾病biomechanics的研究不能仅仅给我们位于疾病前进下面的机制的深入的知识，但是能也为察觉和诊断用作一个强大的工具。这篇文章提供一些卓见进机会因为在疾病的发作或前进期间在细胞的机械性质换掉怎么重要，能为察觉和诊断作为有用工具被利用。我们将也展示已经被开发了执行如此的察觉和诊断的几种技术。

简介：TheexistenceofsolutionsforsystemsofnonlinearimpulsiveVolterraintegralequationsontheinfiniteintervalR+withaninfinitenumberofmomentsofimpulseeffectinBanachspacesisstudied.Someexistencetheoremsofextremalsolutionsareobtained,whichextendtherelatedresultsforthisclassofequationsonafiniteintervalwithafinitenumberofmomentsofimpulseeffect.Theresultsaredemonstratedbymeansofanexampleofaninfinitesystemsforimpulsiveintegralequations.

简介：Thispaperfirstanalyzesthefeaturesoftwoclassesofnumericalmethodsforglobalanalysisofnonlineardynamicalsystems,whichregardstatespacerespectivelyascontinuousanddiscreteones.Onbasisofthisunderstandingitthenpointsoutthatthepreviouslyproposedmethodofpointmappingundercellreference(PMUCR),haslaidaframeworkforthedevelopmentofatwoscalednumericalmethodsuitablefortheglobalanalysisofhighdimensionalnonlinearsystems,whichmaytaketheadvantagesofb...

简介：Basedonthemathematicalmodelofakindofcomplicatedfinancialsystem,allpossiblethingsthatthemodelshowsintheoperationofourcountry'smacro-financialsystemwereanalyzed,suchasbalance,stableperiodic,fractal,Hopf-bifurcation,therelationshipbetweenparametersandHopf-bifurcations,andchaoticmotionetc.Bythechangesofparametersofalleconomicmeanings,theconditionsonwhichthecomplicatedbehaviorsoccurinsuchafinancialsystem,andtheinfluenceoftheadjustmentofthemacro-economicpoliciesandadjustmentofsomeparameteronthewholefinancialsystembehaviorwereanalyzed.Thisstudywilldeepenpeople'sunderstandingoftheleverfunctionofallkindsoffinancialpolicies.

简介：Aclassofperiodicinitialvalueproblemsfortwo-dimensionalNewton-Boussinesqequationsareinvestigatedinthispaper.TheNewton-Boussinesqequationsareturnedintotheequivalentintegralequations.Withiterationmethods,thelocalexistenceofthesolutionsisobtained.Usingthemethodofaprioriestimates,theglobalexistenceofthesolutionisproved.

简介：Globalbifurcationsandmulti-pulsechaoticdynamicsforasimplysupportedrectangularthinplatearestudiedbytheextendedMelnikovmethod.Therectangularthinplateissubjecttotransversalandin-planeexcitation.Atwo-degree-of-freedomnonlinearnonautonomoussystemgoverningequationsofmotionfortherectangularthinplateisderivedbythevonKarmantypeequationandtheGalerkinapproach.Aone-tooneinternalresonanceisconsidered.Anaveragedequationisobtainedwithamulti-scalemethod.Aftertransformingtheaveragedequationintoastandardform,theextendedMelnikovmethodisusedtoshowtheexistenceofmulti-pulsechaoticdynamics,whichcanbeusedtoexplainthemechanismofmodalinteractionsofthinplates.AmethodforcalculatingtheMelnikovfunctionisgivenwithoutanexplicitanalyticalexpressionofhomoclinicorbits.Furthermore,restrictionsonthedamping,excitation,anddetuningparametersareobtained,underwhichthemulti-pulsechaoticdynamicsisexpected.Theresultsofnumericalsimulationsarealsogiventoindicatetheexistenceofsmallamplitudemulti-pulsechaoticresponsesfortherectangularthinplate.

简介：Globallook-uptablestrategyproposedrecentlyhasbeenproventobeanefficientmethodtoacceleratetheinterpolation,whichisthemosttime-consumingpartintheiterativesub-pixeldigitalimagecorrelation(DIC)algorithms.Inthispaper,agloballook-uptablestrategywithcubicB-splineinterpolationisdevelopedfortheDICmethodbasedontheinversecompositionalGauss–Newton(IC-GN)algorithm.Theperformanceofthisstrategy,includingaccuracy,precision,andcomputationefficiency,isevaluatedthroughatheoreticalandexperimentalstudy,usingtheonewithwidelyemployedbicubicinterpolationasabenchmark.Thegloballook-uptablestrategywithcubicB-splineinterpolationimprovessignificantlytheaccuracyoftheIC-GNalgorithm-basedDICmethodcomparedwiththeoneusingthebicubicinterpolation,atatrivialpriceofcomputationefficiency.

简介：Concerningthespecificdemandonsolvingthelong-termconjugateheattransfer(CHT)problem,anewalgorithmoftheglobaltightly-coupledtransientheattransferbasedonthequasi-steadyflowfieldisfurtherputforward.Comparedtothetraditionalloosely-coupledalgorithm,thecomputationalefficiencyisfurtherimprovedwiththegreatlyreducedupdatefrequencyoftheflowfield,andmoreovertheupdatestepoftheflowfieldcanbereasonablydeterminedbyusingtheengineeringempiricalformulaoftheNusseltnumberbasedonthechangesoftheinletandoutletboundaryconditions.Takingaductheatedbyinnerforcedairflowheatingprocessasanexample,thecomparingresultstothetightly-coupledtransientcalculationbyFluentsoftwareshowsthatthenewalgorithmcansignificantlyimprovethecomputationalefficiencywithareasonableaccuracyonthetransienttemperaturedistribution,suchasthecomputingtimeisreducedto22.8%and40%whiletheductwalltemperaturedeviationare7%and5%respectivelyusingtwoflowupdatetimestepof100sand50sonthevariableinlet-flowrateconditions.