简介:根据混沌序列产生的确定性和非线性机制,基于Volterra级数和RLS算法,提出了一种少参数二阶非线性滤波算法用于混沌时间序列的自适应预测。仿真结果表明,这种非线性自适应滤波器能有效地预测一些超混沌序列,而且该滤波器的一步均方误差性能明显高于其他基于Volterra级数的NLMS算法,表明该算法具有良好的收敛性能。
简介:TheKurzweil-HenstockintegralformalismisappliedtoestablishtheexistenceofsolutionstothelinearintegralequationsofVolterra-typewherethefunctionsareBanach-spacevalued.SpecialtheoremsonexistenceofsolutionsconcerningtheLebesgu3integralsettingareobtained.Thesesharpenearlierresults.
简介:TheprimarypurposeofthispaperistopresenttheVolterraintegralequationofthetwo-variableHermitematrixpolynomials.Moreover,anewrepresentationofthesematrixpolynomialsareestablishedhere.
简介:WeconsiderthemultidimensionalabstractlinearintegralequationofVolterratypex(t)+(*)∫Rtα(s)x(s)ds=f(t),t∈R,(1)asthelimitofdiscreteStieltjes-typesystemsandweproveresultsontheexistenceofcontinuoussolutions.Thefunctionsx,αandfareBauachspace-valueddefinedonacompactintervalRofR^nRtisasubintervalofRdependingont∈Rand(*)fdenoteseithertheBochner-LebesgueintegralortheHenstockintegral.Theresultspresentedheregeneralizethosein[1]andareinthespiritof[3].Asaconsequenceofourapproach,itispossibletostudythepropertiesof(1)bytransferringthepropertiesofthediscretesystems,TheHenstockintegralsettingenablesustoconsiderhighlyoscillatingfunctions.
简介:用Schauder不动点定理给出周期系数Volterra模型周期解的存在条件.
简介:UsingafixedpointtheoremofKrasnosel'skiitype,thisarticleprovestheexistenceofasymptoticallystablesolutionsforaVolterra-Hammersteinintegralequationintwovariables.
简介:ThediscretedynamicsforcompetitionpopulationsofLotka-VolterratypemodeledasN1(t+1)=N1(t)exp[r1(1-N1-b12N2)],N2(t+1)=N2(t)exp[r2(1-N2-b21N1)]isconsideredinthepaper.Inthecaseofnon-persistencetheattractivebehaviorofmodelhasbeendiscussed.Especially,therearetwoattractivesetswhenbij>1,andtheattractivebehaviorsaremorecomplicatedthanthatofthecorrespondingcontinuousmodel.Theattractedregionsaregiven.Weprovethatthemodelisalsopersistentinthedegeneratecaseofbij=1.Inthepersistencecaseofbij<1,theexistenceanduniquenessfortwo-periodpointsofthemodelarestudiedatr1=r2.Theconditionforthemulti-pairoftwo-periodpointsisindicatedandtheirinfluencesonpopulationdynamicalbehaviorsareshown.
简介:Inthispaper,weusethecontractionprincipleandtheLeray-SchauderprincipletodealwiththeexistenceofperiodicsolutionsoftheVolterraintegraldifferentialequation.Somenewexistencecriteriaanduniqueexistencecriteriaareobtained.
简介:ThepurposeofthispaperistostudythesuperconvergencepropertiesofRitz-Volterraprojection.ThroughconstructionanewtypeofGreenfunctionandmakinguseofitspropertiesandtheprincipleofduality,thepaperprovesthattheRitz-Volterraprojectiondefinedonr-1orderfiniteelementspacesofLagrangetypeinoneandtwospacevariablecasespossessesO(h2r~2)orderandO(h4+1|Inh|)ordernodalsuperconvergence,respectively,andthesametypeofsuperconver-genceresultsaredemonstratedforthesemidiscretefinitedementapproximatesolutionsofSoboleve-quations.
简介:§1.IntroductionItisknownthatthefollowingCauchyproblemforaparabolicpartialdifferentialequation(wherethevaluesattherightboundary,u.(1,t)=v(t)areunknownandsoughtfor)isill-posed:thesolution(v)doesnotdependcontinuouslyonthedata(g).Inordertotreattheill-posednessanddevelopthenumericalmethod,onereformulatestheproblemasaVolterraintegralequationofthefirstkindwishaconvolutiontypekernel(seeSneddon[1],CarslawandJaeger[2])
简介:非线性生态数学离散模型的持续生存性和全局稳定性等动力学的研究中,大多学者采用建立LiaPunov函数或者对特定模型进行直接分析以及数值模拟等方式,仅能较为普遍地刻画生态系统的一般性,选用差分方程更能准确地描述种群性态,因此将差分多项式系统的吴方法应用于两种群离散Lotka-Volterra模型的精确求解,并对所得解结构进行分析,为生态学研究提供可靠依据,即分析随着时间的推移种群是持续生存还是走向灭绝.
简介:Inthispaper,aLotka-Volterracooperationsystemwithsinglefeedbackcontrolisproposedandstudied.Weinvestigatethelocalstabilityandtheglobalstabilityofthesystem.Ourstudyshowsthatwithsuitablerestrictiononthecoefficientsofthefeedbackcontrolvariable,thesystemcanstillremaingloballystableorbecomeextinct,whichshowsthatthefeedbackcontrolvariableplaysaveryimportantroleinthedynamicsbehaviorsofthesystem.
简介:ThepurposeofthispaperistostudythestabilityandapproximationpropertiesofRitz-Volterraprojection.ThroughconstructinganewtypeofGreenfunctionsandmakinguseofvariouspropertiesandestimatesrelatedwiththefunctions,weprovethattheRitz-Volterraprojectiondefinedonthefinite-dimensionalsubspaceS_hofH_o~1possessestheW_p~1-stabilityandtheoptimalapproximationpropertiesinW_p~1andL_pfor2≤p≤∞.Ourresults,inthispaper,canbeappliedtothefiniteelementapproximationsformanyevolutionequationssuchasparabolicandhyperbolicintegrodifferentialequations,Sobolevequationsandvisco-elasticity,etc.
简介:摘要 : Volterra核函数辨识是一种非线性系统模型,能够良好的应用于结构损伤检测,对于现代机械工程的发展起到了非常重要的作用。本文笔者对 Volterra核函数辨识下结构损伤检测进行分析研究,文章中对 Volterra级数进行详细的分析阐述,并提出 Volterra核函数辨识在结构损伤检测当中的具体应用过程。
简介:Inthispaper,weproposeaLotka-Volterraprey-predatorsystemwithdiscretedelaysandfeedbackcontrol.Firstly,weshowthatsolutionofthesystemisbounded.Secondly,weobtainsufficientconditionfortheglobalstabilityoftheuniquepositiveequilibriumtothesystem.