简介：Thispaperproposesasortofnewnormalformsconsistingofobserverformandcontrollableformfornonlinearsystems.Theconditionsfortransformingtothesenormalformsaregiven,respectively.Thesenormalformsareusedtotreattheproblemsofobserverdesignandlinearization.Thefirstpartofthispaperdealswiththeobserverform,andthesecondthecontrollableform.

简介：Forthecalculationofnon-linearmagneticfields,asimpleprogramcanbeaseffectiveasalargecommercializedsoftwarepackage.Ifrelaxationmethodsareused,theymustincludesuccessiveover-relaxationandunder-relaxationandmuchattentionmustbepaidtotherelaxationfactorandtheinterpolation.Inthispapersomeskillsareproposedonthesettingofaninterpolationswitchandthechoosingofsaturationpointsoastoassuresatisfiedconvergenceproperties.Thenumericalresultsbyusingthesemethodsconformwelltothetests.

简介：Existenceofsolutionsforsemiboundednonlinearevolutionequationsisestablished.Thisgivesmoreaccurateestimateofsolutionsandconditionsofexistenceaxemoreeasilyvalidated.OurresultsaresuccessfullyappliedtoproveexistenceanduniquenessofsolutionsforsomeKdVtypeequations.

简介：Inthispaper,weinvestigatethesemiclassicallimitofthegeneralizednonlinearSchr?dingerequationforinitialdatawithSobolevregularity.Also,wewillanalyzethestructureofthefluiddynamicalsystemwithquantumeffectcorrespondingtothesemiclassicallimitofthegeneralizednonlinearSchr?dingerequation.

简介：Focusislaidontheadaptivepracticaloutput-trackingproblemofaclassofnonlinearsystemswithhigh-orderlower-triangularstructureanduncontrollableunstablelinearization.Usingthemodifiedadaptiveadditionofapowerintegratortechniqueasabasictool,anewsmoothadaptivestatefeedbackcontrollerisdesigned.Thiscontrollercanensureallsignalsoftheclosed-loopsystemsaregloballyboundedandoutputtrackingerrorisarbitrarysmall.

简介：这份报纸为随机的非线性的系统在柔韧的全球稳定和获得任务问题上论述新结果。三个随机的非线性的控制设计计划被开发。而且，一个新随机的获得赋值方法为不明确的互连的随机的非线性的系统的一个类被开发。这个方法能与非线性的小获得的定理被相结合为随机的非线性的系统设计部分状态的反馈控制器。二个数字例子被给说明建议方法论的有效性。

简介：Volterraseriesisapowerfulmathematicaltoolfornonlinearsystemanalysis,andthereisawiderangeofnonlinearengineeringsystemsandstructuresthatcanberepresentedbyaVolterraseriesmodel.Inthepresentstudy,therandomvibrationofnonlinearsystemsisinvestigatedusingVolterraseries.Analyticalexpressionswerederivedforthecalculationoftheoutputpowerspectraldensity（PSD）andinput-outputcross-PSDfornonlinearsystemssubjectedtoGaussianexcitation.Basedontheseexpressions,itwasrevealedthatboththeoutputPSDandtheinput-outputcrossPSDcanbeexpressedaspolynomialfunctionsofthenonlinearcharacteristicparametersortheinputintensity.Numericalstudieswerecarriedouttoverifythetheoreticalanalysisresultandtodemonstratetheeffectivenessofthederivedrelationship.TheresultsreachedinthisstudyareofsignificancetotheanalysisanddesignofthenonlinearengineeringsystemsandstructureswhichcanberepresentedbyaVolterraseriesmodel.

简介：NonlinearMHDKelvin-Helmholtz（K-H）instabilityinapipeistreatedwiththederiva-tiveexpansionmethodinthepresentpaperThelinearstabilityproblemwasdiscussedinthepastbyChandrasekhar（1961）andXuetal.（1981）.Nagano（1979）discussedthenonlinearMHDK-Hinstabilitywithinfinitedepth.Heusedthesingularperturbationmethodandextrapolatedtheob-tainedsecondordermodifierofamplitudevs.frequencytoseekthenonlineareffectontheinstabilitygrowthrateγ.However,inourview,suchanextrapolationisinappropriate.Becausewhentheinstabili-tysetsin,thegrowthratesofhigher,ordertermsontherighthandsideofequationswillexceedthecor-respondingsecularproducingterms,sotheexpansionwillstillbecomemeaninglessevenifthesecularproducingtermsareeliminated.Mathematicallyspeaking,it’simpossibletoderiveformula（39）whenγ02isnegativeinNagano’spaper.Moreover,evenasearlyasγ02→O+,theexpansionbe-comesinvalidbecausethe2ndordermodifierγ2（inhisformula（56））tendstoinfinity.Thisweak-nessisremovedinthispaper,andtheresultisextendedtothecaseofapipewithfinitedepth.

简介：

简介：Lyapunov'ssecondmethodwasusedtostudythenonlinearstabilityofparallelshearflowsforstress-freeboundaries.Byintroducinganenergyfunctional,itwasshownthattheplaneCouetteandplanePoiseuilleflowsareconditionallyandasymptoticallystableforallReynoldsnumbers.Inparticular,totwo-dimensionalperturbations,bydefiningnewenergyfunctionalstheunconditionalstabilityofthebasicflowswasproved.

简介：

简介：

简介：我们由使用量基因算法(QGA)和HartreeFockRoothaan(HFR)的联合计算精力特征值和一个电子量点(QD)的sate功能方法。线性并且为1s-1p，1p-1d，和1d-1f转变的第三顺序的非线性的光吸收系数为stoichiometric比率的三不同的值作为事件光子精力的一个函数被检验。结果证明stoichiometric比率，杂质，松驰时间，和点尺寸在QD的光吸收系数上有大影响。

简介：Inthispaper,amodifiednonlineardynamicinequalityontimescalesisusedtostudytheboundednessofaclassofnonlinearthird-orderdynamicequationsontimescales.Thesetheoremscontainasspecialcasesresultsfordynamicdifferentialequations,differenceequationsandq-differenceequations.

简介：精确预言近海结构运动反应和伙伴绳索线紧张在技术应用和科学研究是重要的。在我们的学习，一个truss圆材平台，在墨西哥湾操作了，被一对内部地数字的代码夫妇数字地模仿并且分析。站台运动回答和联系绳索行紧张通过一个时间领域被计算并且调查非线性的联合动态分析。在模拟和相应领域大小之间的令人满意的同意在联系的将军，显示数字代码能被用来进行与它的绳索和起床人系统交往的truss圆材的时间域分析。基于在线性、非线性的结果之间的比较，在预言站台运动反应和绳索行紧张的非线性的相对重要性被估计并且介绍。通过联合并且伪静电干扰分析，在在预言系在的行紧张和站台运动的站台壳和绳索/起床人的系统之间的动态联合效果的重要性被确定。这些结果可以提供从属便于大规模的数字模拟和设计的必要信息近海结构。

简介：

简介：

简介：Basedonafirstordernonlinearordinarydifferentialequationwithatmostasixth-degreenonlineartermwhichisextendedfromatypeofellipticequation,andbyconvertingitintoanewexpansionform,thispaperproposesanewalgebraicmethodtoconstructexactsolutionsfornonlinearevolutionequations.Beingconciseandstraightforward,themethodisappliedtomodifiedBenjamin-Bona-Mahony(mBBM)model,andsomenewexactsolutionstothesystemareobtained.Thealgorithmisofimportantsignificanceinexploringexactsolutionsforothernonlinearevolutionequations.

简介：Thispaperfollowstheworkof[1,2].Therearesomeprogressindealingwithmoderatelysmallrotations(thesquaresofrotationanglesaretheorderofmagnitudeofstrains)ofmiddlesurfacenormalsofinsideandoutsideringshellsandcompressedangleofbellows.Calculationresultsagreewithexperimentswell.Tobellowdesign,themethodgiveninthispaperisofpracticalvalueandthediscussionoftheinfluenceofcompressedangleoncharacteristicrelationishelpful.

简介：平常的微分方程(颂诗)模型广泛地被用来在许多科学领域里为动态过程建模。参数评价通常是一个挑战性的问题，特别在非线性的颂诗模型。最流行的方法，非线性的最不方形的评价，被显示对孤立点强烈敏感。在这份报纸，用M评估者的参数的柔韧的评价被建议，并且他们的asymptotic性质在一些常规条件下面被获得。作者也提供一个方法根据观察自动地调整Huber参数。而且，一个方法被介绍估计参数和州的变量的起始的值。效率和坚韧性很好在Huber评估者被平衡，它经由数字模拟和氯化物数据分析被表明。