简介：ConcernedwiththeexistenceandconvergencepropertiesofapproximatesolutiontomultivaluednonlinearmixedvariationalinclusionprobleminaHilbertspace,weestablishedtheequivalencebetweenthevariationalinclusionandthegeneralresolventequations,obtainedthreeiterativealgorithms,providedtheconvergenceanalysisofthealgorithms.Theresultsobtainedimproveandgeneralizeanumberofresentresults.

简介：Weinvestigatethenonlinearresponseofterahertz(THz)metamaterialperfectabsorbersconsistingofelectricsplitringresonatorsonGaAsintegratedwithapolyimidespacerandgoldgroundplane.Theseperfectabsorbersonbulksemi-insulatingGaAsarecharacterizedusinghigh-fieldTHztime-domainspectroscopy.Theresonancefrequencyredshifts20GHzandtheabsorbanceisreducedby30%astheincidentpeakfieldisincreasedfrom30to300kV/cm.ThenonlinearresponsearisesfromTHzfielddriveninterbandtransitionsandintervalleyscatteringintheGaAs.ToeliminatetheFresnellossesfromtheGaAssubstrate,wedesignandfabricateaflexiblemetamaterialsaturableperfectabsorber.Theabilitytocreatenonlinearabsorbersenablesappealingapplicationssuchasopticallimitingandself-focusing.

简介：Inthispaper,nonlinearobserversareincorporatedintotheadaptivecontroltosynthesizecontrollersforaclassofuncertainnonlinearsystemswithunknownsinusoidaldisturbanceswhicharepresentedinmatchedandunmatchedforms.Inadditiontomagnitudesandphases,frequenciesofthesinusoidaldisturbancesneednotbeknownaswell,solongastheoverallorderisknown.Nonlinearobserversareconstructedtoeliminatetheeffectofunknownsinusoidaldisturbancestoimprovethesteady-stateoutputtrackingperformance-asymptoticoutputtrackingisachieved.Theadaptationlawisusedtoobtaintheestimateofallunknownparameters.Thepresenteddisturbancedecouplingalgorithmscandealwithmatchedandunmatchedunknownsinusoidaldisturbances.

简介：AnasynchronousparallelmultisplittingnonlinearGauss-SeideliterativemethodisestablishedfortheparticularlystructuredsystemofnonlinearequationsAφ(x)+Bφ(x)=bwithA,B∈(R^n)φ,φtR^n→R^nbeingdiagonalmappingsandb∈R^n,andtheglobalconvergenceofitisproved.

简介：一种技术到的二重要延期为一个明确的假动态算法执行非线性的错误繁殖分析(Chang，2003)被介绍。一个人从给定的时间步扩大稳定性学习到一个完全的一步一步的集成过程。它是证明的经分解那条保证稳定性条件在每次，步导致全部一步一步的集成过程的稳定的计算。非线性的错误繁殖结果的另外的延期表演，它为自由(SDOF)的非线性的单个度被导出系统，能被用于自由(MDOF)的非线性的多重度系统。这个应用程序依赖于系统在的自然频率的决心每次走，自从所有数字性质和错误繁殖，在时间步的性质是仔细与这些频率有关。结果从非线性的步度被导出。非线性的即时度被介绍代替非线性的步度并且被显示在实践易用。延期能也被用于基于非线性，和因此步力量适当地被选择在测试以前执行假动态测试的一时间的即时度从一个SDOF系统导出的结果。

简介：SomenewinequalitiesinvolvingimproperintegralsareestablishedinthepaperwhichgeneralizetherelatedresultsduetoPachpatteandRodrigues.Discreteanaloguesoftheintegralinequalitiesobtainedarealsoderived.AnexampleisgiventoshowthattheboundinTheorem1isnotimprovable.

简介：Inthispaper,weconsideraninitial-boundaryvalueproblemforsomenonlinearevolutionequationswithdampinganddiffusion.Themainpurposeistoinvestigatetheboundarylayereffectandtheconvergenceratesasthediffusionparameterαgoestozero.

简介：基于精力保存关系，包括不稳定性范围的Rijke试管的非线性的thermo声学的效果，浸透过程和更高的泛音模式被调查。与在外部流动和一个Rijke试管的内部空间之间联合，自我刺激的摆动的声学的特征被模仿。试验性的学习也被执行，结果与从模拟的那些相比。弄歪的非线性的因素声学的波形失真被分析。从结果，嘴插头的变化尺寸在边界改变声学的阻抗，这被看见，并且导致非线性的效果的减小。结果证明自我刺激的摆动的模式能被更高的泛音的位置影响。在大振幅摆动，在Rijke试管以内的压力波浪的失真能被声学的损失在嘴上由于旋涡导致。波形失真能被嘴的收缩避免，这被发现。

简介：Elmannetworks'dynamicalmodelingcapabilityisdiscussedinthispaperfirstly.AccordingtoElmannetworks'uniquestructure,aweighttrainingalgorithmisdesignedandanonlinearadaptivecontrollerisconstructed.WithoutthePEpresumption,neuralnetworkscontroller'sclosed-looppropertiesarestudiedandthewholeElmannetworks'passivityisdemonstrated.

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简介：Thispaperisdevotedtothestudyofsecondordernonlineardifferenceequations.ANonlocalPerturbationofaDirichletBoundaryValueProblemisconsidered.AnexhaustivestudyoftherelatedGreen'sfunctiontothelinearpartisdone.Theexactexpressionofthefunctionisgiven,moreovertherangeofparameterforwhichithasconstantsignisobtained.Usingthis,someexistenceresultsforthenonlinearproblemarededucedfrommonotoneiterativetechniques,theclassicalKrasnoselskifixedpointtheoremorbyapplicationofrecentfixedpointtheoremsthatcombineboththeories.

简介：ＷＵ－ＲＩＴＴ＇ＳＭＥＴＨＯＤＦＯＲＮＯＮＬＩＮＥＡＲＣＯＮＴＲＯＬＳＹＳＴＥＭＳ￥ＬＩＳｈｕｒｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｔｈｉ...

简介：Split-stepPadémethodandsplit-stepfouriermethodareappliedtothehigher-ordernonlinearSchrdingerequation.ItisprovedthatacombinationofPadéschemeandspectralmethodisthemosteffectivemethod,whichhasaspectral-likeresolutionandgoodstabilitynature.Inparticular,weproposeanunconditionalstableimplicitPadéschemetosolveoddordernonlinearequations.NumericalresultsdemonstratetheexcellentperformanceofPadéschemesforhighordernonlinearequations.

简介：BasedonBiot'sconsolidationtheory,atwo-dimensionalmodelforcomputationoftheseabedresponsetowavesispresentedwiththefiniteelementmethod.Numericalresultsfordifferentwaveconditionsareobtained,andtheeffectsofwavenon-linearityonthewave-inducedseabedresponseareexamined.Moreover,thewave-inducedmomentaryliquefactioninuniformandinhomogeneousseabedsisinvestigated.Itisshownthatthewavenon-linearityaffectsthedistributionofthewave-inducedporepressureandeffectivestresses,whiletheinfluenceofwavenon-linearityontheseabedliquefactionpotentialisnotsosignificant.

简介：Nonlineardynamicresponseofnanomechanicalresonatorisofveryimportantcharacteristicsinitsapplication.Twocategoriesofthetension-dominantandcurvature-dominantnonlinearitiesareanalyzed.Thedynamicnonlinearityoffourbeamstructuresofnanomechanicalresonatorisquantitativelystudiedviaadimensionalanalysisapproach.Thedimensionalanalysisshowsthatforthenanomechanicalresonatoroftension-dominantnonlinearity,itsdynamicnonlinearitydecreasesmonotonicallywithincreasingaxialloadingandincreasesmonotonicallywiththeincreasingaspectratiooflengthtothickness;thedynamicnonlinearitycanonlyresultinthehardeningeffects.However,forthenanomechanicalresonatorofthecurvature-dominantnonlinearity,itsdynamicnonlinearityisonlydependentonaxialloading.Comparedwiththetension-dominantnonlinearity,thecurvature-dominantnonlinearityincreasesmonotonicallywithincreasingaxialloading;itsdynamicnonlinearitycanresultinbothhardeningandsofteningeffects.Theanalysisonthedynamicnonlinearitycanbeveryhelpfultothetuningapplicationofthenanomechanicalresonator.

简介：Nonlinearrank-onemodificationofthesymmetriceigenvalueproblemarisesfromeigen-vibrationsofmechanicalstructureswithelasticallyattachedloadsandcalculationofthepropagationmodesinopticalfiber.Inthispaper,wefirststudytheexistenceanduniquenessofeigenvalues,andtheninvestigatethreenumericalalgorithms,namelyPicarditeration,nonlinearRayleighquotientiterationandsuccessivelinearapproximationmethod(SLAM).TheglobalconvergenceoftheSLAMisprovenundersomemildassumptions.NumericalexamplesillustratethattheSLAMisthemostrobustmethod.

简介：有与采样为非线性的系统的一个类活跃骚乱拒绝控制(ADRC)调节的参数的担心快不足够评估的这份报纸。理论结果显示出在采样率之间的量的关系，ADRC的参数，在系统和靠近环的系统的性质的无常的尺寸。而且，在给定的采样率下面的样品数据ADRC的能力是讨论的份量上。

简介：UsingafixedpointtheoremofKrasnosel'skiitype,thisarticleprovestheexistenceofasymptoticallystablesolutionsforaVolterra-Hammersteinintegralequationintwovariables.

简介：Previously,anovelclassifiercalledKernel-basedNonlinearDiscriminator(KND)wasproposedtodiscriminateapatternclassfromotherclassesbyminimizingmeaneffectofthelatter.Toconsidertheeffectofthetargetclass,thispaperintroducesanobliqueprojectionalgorithmtodeterminethecoefficientsofaKNDsothatitisextendedtoanewversioncalledextendedKND(eKND).IneKNDconstruction,thedesiredoutputvectorofthetargetclassisobliquelyprojectedontotherelevantsubspacealongthesubspacerelatedtootherclasses.Inaddition,asimpletechniqueisproposedtocalculatetheassociatedobliqueprojectionoperator.ExperimentalresultsonhandwrittendigitrecognitionshowthatthealgorithmperformesbetterthanaKNDclassifierandsomeothercommonlyusedclassifiers.

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