简介：

简介：在量interferometry，为高精确的大小的成就控制并且利用非线性的相互作用是重要的。由于他们的长连贯时间和高可控制性，包括Bose的ultracold原子压缩了原子广泛地为量interferometry被使用了。这里，我们与Bose在量interferometry的理论研究考察最近的进步压缩原子。特别地，我们集中于原子原子相互作用导致的非线性的现象，并且怎么控制并且利用这些非线性的现象。与吝啬地的描述，由于原子原子相互作用，事波浪solitons出现在干扰模式，和宏观的量自我套住在Bose-Josephson连接存在。与许多身体描述，原子原子相互作用能产生非古典的纠纷，它能被利用在标准量限制以外完成高精确的大小。

简介：最近，C.-.C.杨和我。Laine调查了有限顺序形式fn+L的非线性的微分差别的方程的全部答案f(z，f)=h，在此2是的n一个整数。特别地，这被知道方程f(z)2+q(z)f(z+1)=p(z)p(z)，q(z)是多项式，不先验有限顺序的全部答案。假定那Q(z)也是一个多项式和c，形式f(z)n+q(z)eQ(z)f(z+c)的方程=p(z)做团队有限顺序全部答案。以生长和零分布，愿望被给的这些答案的一个分类。特别地，任何指数的多项式溶液必须归结为一种相当特定的形式，这被显示出。这个推理由于N依靠一份更早的报纸。Steinmetz。

简介：BasedonexactGreenstrainofspatialcurvedbeam,thenonlinearstrain-displacementrelationforplanecurvedbeamwithvaryingcurvatureisderived.Insteadofusingthepreviousstraightbeamelements,curvedbeamelementsareusedtoapproximatethecurvedbeamwithvaryingcurvature.Basedonvirtualworkprinciple,rigid-flexiblecouplingdynamicequationsareobtained.Physicalexperimentswerecarriedouttocapturethelargeoverallmotionandthestrainofcurvedbeamtoverifythepresentrigid-flexiblecouplingformulationforcurvedbeambasedoncurvedbeamelement.Numericalresultsobtainedfromsimulationswerecomparedwiththoseresultsfromthephysicalexperiments.Inordertoillustratetheeffectivenessofthecurvedbeamelementmethodology,thesimulationresultsofpresentcurvedbeamelementsarecomparedwiththoseobtainedbypreviousstraightbeamelements.Thedynamicbehaviorofaslider-crankmechanismwithaninitiallycurvedelasticconnectingrodisinvestigated.Theadvantageofemployinggeneralized-αmethodispointedoutandthespecialnonlineardynamiccharacteristicsofthecurvedbeamareconcluded.

简介：InthispaperweanalyzetheoptimalcontrolproblemforaclassofaffinenonlinearsystemsundertheassumptionthattheassociatedLiealgebraisnilpotent.TheLiebracketsgeneratedbythevectorfieldswhichdefinethenonlinearsystemrepresentaremarkablemathematicalinstrumentforthecontrolofaffinesystems.Wedeterminetheoptimalcontrolwhichcorrespondstothenilpotentoperatorofthefirstorder.Inparticular,weobtainthecontrolthatminimizestheenergyofthegivennonlinearsystem.Applicationsofthiscontroltobilinearsystemswithfirstordernilpotentoperatorareconsidered.

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

简介：在二固体之间的一个结合的接口上的非线性的边界条件一纵或砍水平嘘，在正常发生下面的波浪被探索。由使用秒顺序不安方法，非线性的春天模型严厉地在小厚度的限制被开发到波长比率。数字结果同意很好，准确答案由连续边界条件获得了。为纵的波浪的非线性的春天模型被测量钢或铝底层的楔形的结合结构的非线性验证。试验性的结果表明上述模型是相当精确的，当到粘合剂的adherend的阻抗比率增加，模型变得更精确。

简介：滑动模式控制的适应backstepping与输入浸透为不明确的非线性的系统的一个班被建议。一个命令过滤了途径被用来阻止输入浸透破坏神经网络(NN)的适应能力。控制法律和NN的适应更新法律在Lyapunov功能的意义被导出，因此稳定性能甚至在输入浸透下面被保证。建议控制法律对骚乱是柔韧的，并且它能也消除输入浸透的影响。模拟结果显示建议控制器有好表演。

简介：TheBayesianapproachisconsideredasthemostgeneralformulationofthestateestimationfordynamicsystems.However,mostoftheexistingBayesianestimatorsofstochastichybridsystemsonlyfocusontheMarkovjumpsystem,fewliteratureisrelatedtotheestimationproblemofnonlinearstochastichybridsystemswithstatedependenttransitions.Accordingtothisproblem,anewmethodologywhichrelaxesquitearestrictiveassumptionthatthemodetransitionprocessmustsatisfyMarkovpropertiesisproposed.Inthismethod,ageneralapproachispresentedtomodelthestatedependenttransitions,thestateandoutputspacesarediscretedintocellspacewhichhandlesthenonlinearitiesandcomputationallyintensiveproblemoffline.ThenmaximumaposteriorestimationisobtainedbyusingtheBayesiantheory.Theefficacyoftheestimatorisillustratedbyasimulatedexample.

简介：在这篇文章，为第二份订单的内部层非线性的不可思议地使不安的微分差别的方程被考虑。用边界功能和部分步的方法，我们构造asymptotic扩大的公式并且指出在0有的t=的边界层在在t=的内部层之上的大影响。根据微分不平等技术，同时，光滑的答案的存在和asymptotic扩大的一致有效性被证明。最后，一个例子被给表明我们的结果的有效性。这篇文章的结果是新的，它补充以前已知的。

简介：ThispapergivesanewsubspacecorrectionalgorithmfornonlinearunconstrainedconvexoptimizationproblemsbasedonthemultigridapproachproposedbyS.Nashin2000andthesubspacecorrectionalgorithmproposedbyX.TaiandJ.Xuin2001.Undersomereasonableassumptions,weobtaintheconvergenceaswellasaconvergencerateestimateforthealgorithm.Numericalresultsshowthatthealgorithmiseffective.

简介：Theelectricallyevokedsomaticmotilityofouterhaircells(OHC),brieflytermedOHCelectromotility,playsacrucialroleincochlearamplificationthatunderliestheremarkablyhighsensitivityandfrequencyselectivityofthemammalianhearing.AccompanyingOHCelectromotilityisavoltage-dependentgatingchargemovementwithinthecelllateralmembrane,manifestedasameasurablenonlinearcapacitance(NLC)inOHCs.TheelectromotilityandNLCofOHCsarehighlycorrelatedbysharingacommonmolecularsubstrate,themotorproteinprestin.Inthisstudy,wesystematicallycharacterizedthequantitativerelationshipbetweenOHCelectromotilityandNLCintheirvoltagedependencesforthepurposeoffurtherunderstandingtheelectromechanicaltransductioninOHCs.TheresultsdemonstratedthatthetwopossessdifferingvoltagedependenceswiththeV1/2ofelectromotilityconsistentlybeing～20mVdepolarizedincomparisonwiththatofNLCalthoughtheirslopefactorsαarestatisticallyidentical.FurtherinvestigationsshowedthattheinitialstateofOHCsinfluencesthevoltagedependenceofelectromotilitybutnotthatofNLC,indicatingthatsomebiophysicalfactorsotherthanthemotorproteinperseareinvolvedintheprocessofOHClengthchanges.Weproposedthatthecytoskeletalspectrin-actinframeworkunderneaththeOHCplasmamembraneandthecell'sturgorarethetwomostprobablefactorsthatcausethevoltage-dependencediscrepancybetweenOHCelectromotilityandNLC.

简介：这份报纸使描述有弹性的字符串的一个3-dimensional网络的颤动的非线性的波浪方程的一个系统担心。作者导出方程和适当节的条件，决定平衡解决方案，并且，由使用quasilinear的方法夸张系统，证明那因为树联网天赋起始，边界值问题有古典解决方案在拉长的平衡解决方案的邻居存在。然后，这的本地可控制性近联网在某个指定时间间隔的配置被证明的如此的平衡。最后，它被证明那，给二不同平衡状态令人满意某些条件，在足够地大的时间间隔上在第二平衡的一位合适的邻居在一平衡的一位足够小的邻居从状态控制网络到任何状态是可能的。

简介：Themethodofnonlinearparabolizedstabilityequations(PSE)isappliedinthesimulationofvortexstructuresincompressiblemixinglayer.Thespatially-evolvingunstablewaves,whichdominatethevortexstructure,areinvestigatedthroughspatialmarchingmethod.Theinstantaneousflowfieldisobtainedbyaddingtheharmonicwavestobasicflow.TheresultsshowthatT-Swavesdonotkeepgrowingexponentiallyasthelinearevolution,theenergytransfertohighorderharmonicmodes,andthatfinallyallharmonicmodesgetsaturatedduetononlinearinteraction.Themeanflowdistortioninducedbythenonlinearinteractionbetweentheharmonicmodesandtheirconjugateharmonicones,makesgreatchangeoftheaverageflowandincreasesthethicknessofmixinglayer.PSEmethodscanwellcapturethetwo-andthree-dimensionallargescalenonlinearvortexstructuresinmixinglayerssuchasvortexroll-up,vortexpairing,andAvortex.

简介：Inthespaceborne/airborneforward-lookingbistaticsyntheticapertureradar(SA-FBSAR),duetothesystemplatforms'remarkablevelocitydifferenceandtheforward-lookingmode,therangecellmigration(RCM)notonlydependsonthetarget'stwodimensionallocation,butalsovarieswiththerangelocationnonlinearly.Andthenonlinearityisnotjusttheslightdeviationfromthelinearpart,butexhibitsevidentnonlineardepartureintheRCMtrajectory.IftheRCMisnotproperlycorrected,nonlinearimagedistortionswouldoccur.BasedontheRCMmodel,amodifiedtwo-stepRCMcompensation(RCMC)methodforSA-FBSARisproposed.Inthismethod,firstlytheazimuth-dependentRCMiscompensatedbythescalingFouriertransformandthephasemultiplication.Andthentherange-dependentRCMisremovedthroughinterpolation.TheeffectivenessoftheproposedRCMCmethodisverifiedbythesimulationresultsofbothpointscatterersandareatargets.

简介：这篇文章的作者学习ut=div的起始边界的值问题的弱解决方案的存在和唯一((|u|+d0)|u|p(x，t)2u)+f(x，t)(0<<2)。

简介：Ageneralizedhyperbolicperturbationmethodispresentedforhomoclinicsolutionsofstronglynonlinearautonomousoscillators,inwhichtheperturbationprocedureisimprovedforthosesystemswhoseexacthomoclinicgeneratingsolutionscannotbeexplicitlyderived.Thegeneralizedhyperbolicfunctionsareemployedasthebasisfunctionsinthepresentproceduretoextendthevalidityofthehyperbolicperturbationmethod.Severalstronglynonlinearoscillatorswithquadratic,cubic,andquarticnonlinearityarestudiedindetailtoillustratetheefficiencyandaccuracyofthepresentmethod.

简介：我们在Dirichlet边界条件下面为边界和充分非线性的、一致地椭圆形的方程的连续粘性答案的内部坡度估计调查锋利的条件。当这些条件被违背时，能有在内部或在领域的边界上坡度骤起。特别地，我们比以前在更一般的生长条件下面在连续粘性答案的本地、全球的Lipschitz连续性上导出锋利的结果。当Dirichlet条件满足在时，边界附近的Lipschitz整齐允许我们预言一古典并且不仅仅在粘性意义，在分开能发生的地方。另一后果是这：如果内部坡度骤起发生，露天梯级类型解决方案能一般来说变得不连续，以便Dirichlet问题能在连续粘性解决方案的类上变得不可解。

简介：一条全球存在定理为一个起始边界的值问题被建立，与时间依赖者边界数据，在脉搏燃烧的一个lumped参数模型产生；在问题的模型产生一个非线性的混合夸张寓言的系统。用以前为联系线性问题建立的结果，固定的点争论被采用与人工的粘性为非线性的问题的一个调整版本证明存在本地。适当-priori估计然后被导出它暗示本地存在结果能为调整问题被扩大到一条全球存在定理。最后，priori估计的一个不同集合被产生当人工的粘性参数收敛到零，它允许拿限制；调整问题的相应答案然后被证明收敛到原来的、非线性的、夸张寓言的系统的起始边界的价值问题的唯一的答案。

简介：这份报纸为二维的非线性的椭圆形的方程用混合有限元素方法与pointwise控制限制管理的一般最佳的控制问题调查L估计。状态并且有肋骨被最低顺序Raviart-Thomas接近混合有限元素空格和控制被piecewise常数函数接近。作者为非线性的最佳的控制问题的混合有限元素近似导出L估计。最后，数字例子被给。