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简介:<正>Weintroduceamodifiedsmall-worldnetworkaddingnewlinkswithnonlinearlypreferentialconnectioninsteadofaddingrandomly,thenweapplyBak-Sneppen(BS)evolutionmodelonthisnetwork.Westudyseveralimportantstructuralpropertiesofournetworksuchasthedistributionoflink-degree,themaximumlink-degree,andthegthoftheshortestpath.Wefurtherargueseveraldynamicalcharacteristicsofthemodelsuchastheimportantcriticalvaluefc,thef0avalanche,andthemutatingcondition,andfindthatthosecharacteristicsshowpanticularbehaviors.
简介:Inthisletterthethree-dimensionalnonlinearHelmholtzequationisinvestigated,whichdescribeselectro-magneticwavepropagationinanonlinearKerr-typemediumsuchthatsixteenfamiliesofnewJacobiellipticfunctionsolutionsareobtained,byusingourextendedJacobianellipticfunctionexpansionmethod.Whenthemodulusm→1or0,thecorrespondingsolitarywavesincludingbrightsolitons,darksolitonsandnewlinesolitonsandsinglyperiodicsolutionscanbealsofound.
简介:Twodifferentpulsecleaningtechniquesforultra-highcontrastlasersystemsarecomparablyanalysedinthiswork.Thefirstpulsecleaningtechniqueisbasedonnoncollinearfemtosecondoptical-parametricamplification(NOPA)andsecond-harmonicgeneration(SHG)processes.Theotherisbasedoncross-polarizedwave(XPW)generation.Withadoublechirpedpulseamplifier(double-CPA)scheme,althoughtemporalcontrastenhancementinahigh-intensityfemtosecondTi:sapphirechirpedpulseamplification(CPA)lasersystemcanbeachievedbasedonbothofthetechniques,thetwodifferentpulsecleaningtechniquesstillhavetheirownadvantagesandaresuitablefordifferentcontrastenhancementrequirementsofdifferentlasersystems.
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:Thisresearchreportsthepreparationandcharacterizationofcoppernanoparticlesmodifiedbydidecylbenzenesulfonate(DBS),TheCunanoparticles'sizewasdeterminedtobe40nmbytransmissionelectronmicroscope(TEM).TheX-rayphotoelectronspectrometry(XPS)resultsshowthatthereareinteractionsbetweenthecoppernanoparticlesandDBSfunctiongroup.Thenonlinearopticalpropertieswerestudiedbythefour-wavemixingmethod.Thevalueofx^(3)/α0wasfoundtobe6.9×10^-11esucm.
简介:尽管这被显示出HHT的实现--如果运动的方程被使用而不是差别方程评估下一步加速,一个方法能在假动态测试导致改进错误繁殖性质,当过去常解决一个非线性的系统时,这篇论文证明这个方法可能导致不稳定性。,它的无条件的稳定性为非线性的系统仅仅为线性有弹性的系统被验证,因为集中的步度是不到1,不稳定性发生。集中罐头的步度经常在假动态测试是不到1,是值得注意的,自从仅仅当集中的步度不管它的价值是否更大接近1时,一个会聚的答案被完成或不到1。因此,到假动态测试的这个计划的申请应该被禁止,自从不稳定性的可能性可能不正确地破坏一个标本。因而,由使用差别方程决定下一步加速的HHT-α方法的实现在假动态测试为使用被推荐。
简介:AnegativecurvaturemethodisappliedtononlinearleastsquaresproblemswithindefiniteHessianapproximationmatrices.Withthespecialstructureofthemethod,anewswitchisproposedtoformahybridmethod.Numericalexperimentsshowthatthismethodisfeasibleandeffectiveforzero-residual,small-residualandlarge-residualproblems.
简介:mass-spring-damper-type的古典理论平常的扁平的空间3上的动态系统可以被reformulating概括到高度维的Riemannianmanifolds通过微分几何学的基本内在的物理原则。因为他们从当模特儿复杂物理结构自然地产生并且因为如此的动态系统为象信息的安全传播那样的几个现代应用程序组成基础,非线性的动态系统在科学文学被学习了。非线性的动态系统的流动可以在建筑群随着时间的过去演变,非重复(尽管确定)模式。现在的纸的焦点在提出描述在以一种没有坐标的方式歧管的Riemannian上滑动的一个点明智的粒子的动力学的一般方程上。纸显示出方程怎么在对科学文学的兴趣的某manifolds的情况中列举,例如歧管的Stiefel并且对称的积极明确的矩阵歧管。
简介:—Inthispaper,anonlinearmodelispresentedtodescribewavetransformationinshallowwat-erwiththezero-vorticityequationofwave-numbervectorandenergyconservationequation.Thenonlineareffectduetoanempiricaldispersionrelation(byHedges)iscomparedwiththatofDalrymple'sdispersionrelation.Themodelistestedagainstthelaboratorymeasurementsforthecaseofasubmergedellipticalshoalonaslopebeach,wherebothrefractionanddiffractionaresignificant.Thecomputationre-sults,comparedwiththoseobtainedthroughlineardispersionrelation.showthatthenonlineareffectofwavetransformationinshallowwaterisimportant.Andtheempiricaldispersionrelationissuitableforre-searchingthenonlinearityofwaveinshallowwater.
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简介:AclassofparallelnonlinearmultisplittingAORmethodsissetupbydirectlymultisplittingthenonlinearmappingF:DCR^n→R^nforsolvingthenonlinearsystemofequationsF(x)=0.Thedifferentchoicesoftherelaxationparameterscanyieldalltheknownandalotofnewrelaxationmethodsaswellasalotofnewrelaxationparallelnonlinearmultisplittingmethods.Thetwo-sidedapproximationpropertiesandtheinfluencesonconvergencefromtherelaxationparametersaboutthenewmethodsareshown,andthesufficientconditionsguaranteeingthemethodstoconvergegloballyarediscussed.Finally,alotofnumericalresultsshowthatthemethodsarefeasibleandefficient.