简介：Thispaperstudiestheiterationsofholomorphicself-mapswhichhavenonwanderingpointsovergeneralpseudoconvexdomainsisC^2.TheauthorsgiveespeciallyaDenjoy-Wolff-typetheoremonpseudoconvexdomainswithreal-analyticboundaries,orevenmoregeneral,ondorpainsoffinitetype.

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简介：Thispapergivesfourpairsofentropies(η_i,q_i)(i=1,2,3,4)totheisentropicgasdynamicsequationsρ_t+(ρu)_x=0(ρu)_t+(ρu~2+p(ρ))_x=0p(ρ)=k~2ρ~γ,1<γ<3。whenallthefunctionequationsaresatisfied

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简介：Inthispaper,westudythreespecialfamiliesofstrongentropy-entropyfluxpairs(η_0,q_0),(η_±,q_±),representedbydifferentkernels,oftheisentropicgasdynamicssystemwiththeadiabaticexponentγ∈(3,∞).Throughtheperturbationtechniquethroughtheperturbationtechnique,weproved,weprovedtheH~(-1)com-pactnessofη_(it)+q_(ox),i=1,2,3withrespecttotheperturbationsolutionsgivenbytheCauchyproblem(6)and(7),where(η_i,q_i)aresuitablelinearcombinationsof(η_0,q_0),(η_±,q_±).

简介：我们在拓扑的动力学在混乱理论的最近的发展给一篇摘要，集中于LiYorke混乱，Devaney混乱，分布混乱，积极的拓扑的熵，微弱地混合等等设定，并且他们的关系。

简介：在这篇文章，我们在场有浸透的发生的一个肝炎B流行模型。确定、随机的系统的动态行为被学习。到这个目的，我们首先建立确定的模型的平衡的本地、全球的稳定性条件。由构造合适的随机的Lyapunov功能，第二，为肝炎B的各态历经的静止分发以及扑灭的存在的足够的条件被获得。

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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.

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简介：在这份报纸，我们发现一座桥与平面向量地在3连接向量地的一个班并且在3给关上的轨道，heteroclinic轨道和向量地的一个班的homoclinic轨道的存在的一个标准。向量地的这个班的所有可能的nonwandering集合掉进三个班：(i)奇特；(ii)关上了轨道；(iii)连接他们的奇特和轨道的工会的图。为向量地的固定的必要、足够的条件也被获得。

简介：ＮＥＷＲＥＳＵＬＴＳＯＮＴＨＥＥＸＰＯＮＥＮＴＩＡＬＳＴＡＢＩＬＩＴＹＯＦＮＯＮ－ＳＴＡＴＩＯＮＡＲＹＰＯＰＵＬＡＴＩＯＮＤＹＮＡＭＩＣＳ￥（郭宝珠，姚翠珍）ＧｕｏＢａｏｚｈｕ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｂｅｉｊｉ...

简介：Abstract.Inthispaper,aninitialboundaryvalueproblemwithhomogeneousNeumannbound-aryconditionisstudiedforareactiondiffusionsystemwhichmodelsthespreadofinfectiousdis-easeswithintwopopulationgroupsbymeansofserfandcriss-crossinfectionmechanism,Exis-tence,uniquenessandhoundednessofthenonnegativeglobalsolution

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简介：<正>AnonlinearhingedextensibleelasticbodyequationwithstrongstructuraldampingandBalakrishnan-Taylordampingoffullexponentisstudiedasageneralmodelforlargespacestructuresofhigherdimensions.Inthispaper,theabsorbingsetsandfiatinertialmanifoldareobtainedforthisnonlinearbodyequation.Thecontrolspilloverproblemassociatedwiththestabilizationofthisequationisresolvedbyconstructingalinearfinitedimensionalfeedbackcontrolbasedontheexistenceofinertialmanifoldsoftheuncontrolledequation.Moreover,theresultsobtainedarerobustwithrespecttotheuncertaintyinstructuralparameters.

简介：Inthispaper,dynamicsofthediscrete-timepredator-preysystemwithAlleeeffectareinvestigatedindetail.ConditionsoftheexistenceforflipbifurcationandHopfbifurcationarederivedbyusingthecentermanifoldtheoremandbifurcationtheory,andthenfurtherillustratedbynumericalsimulations.ChaosinthesenseofMarottoisprovedbybothanalyticalandnumericalmethods.Numericalsimulationsincludedbifurcationdiagrams,Lyapunovexponents,phaseportraits,fractaldimensionsdisplaynewandrichdynamicalbehavior.Morespecifically,apartfromstabledynamics,thispaperpresentsthefindingofchaosinthesenseofMarottotogetherwithahostofinterestingphenomenaconnectedtoit.TheanalyticresultsandnumericalsimulationsdemostratesthattheAlleeconstantplaysaveryimportantrolefordynamicalbehavior.ThedynamicalbehaviorcanmovefromcomplexinstablestatestostablestatesastheAlleeconstantincreases(withinalimitedvalue).Combiningtheexistingresultsinthecurrentliteraturewiththenewresultsreportedinthispaper,amorecompleteunderstandingofthediscrete-timepredator-preywithAlleeeffectisgiven.