简介：Bifurcationswithconstraintsareopenproblemsappearedinresearchonperiodicbifurcationsofnonlineardynamicalsystems,butthepresentsingularitytheorydoesn'tcontainanyanalyticalmethodsandresultsaboutit.Asthecomplementtosingularitytheoryandthefirststeptostudyonconstrainedbifurcations,herearegiventhetransitionsetsandpersistentperturbedbifurcationdiagramsof10elementarybifurcationofcodimensionnomorethanthree.

简介：The3-Dspiralstructureresultingfromthebalancebetweenthepressuregradientforce,Coriolisforce,andviscousforceisacommonatmosphericmotionpattern.Ifthenonlinearadvectivetermsareconsidered,thistypicalpatterncanbebifurcated.Itisshownthatthesurfacelowpressurewithconvergentcyclonicvorticityandsurfacehighpressurewithdivergentanticyclonicvorticityareallstableundercertainconditions.Theanomalousstructurewithconvergentanticyclonicvorticityisalwaysunstable.Buttheanomalousweakhighpressurestructurewithconvergentcyclonicvorticitycanexist,andthisdenotesthecyclone'sdyingout.

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简介：Inthispaper,westudytheperturbationofcertainofcubicsystem.Byusingthemethodofmulti-parameterperturbationtheoryandqualitativeanalysis,weinferthatthesystemunderconsiderationcanhavefivelimitcycles.

简介：Theeffectsoftheconstantexcitationonthelocalbifurcationoftheperiodicsolutionsinthe1:2internalresonantsystemswereanalyzedbasedonthesingularitytheory.Itisshownthattheconstantexcitationmakeinfluenceonlywhenthereexistsomenonlinearterms,intheoscillatorwithlowerfrequency.Besidesactingasmainbifurcationparameter,theconstantexcitation,togetherwithcoefficientsofsomenonlinearterms,maychangethevaluesofunfoldingparametersandthetypeofthebifurcation.Underthenon-degeneratecases,theeffectofthethirdordertermscanbeneglected.

简介：我们与处理描述并且分析一个简单SIS模型。特别地，我们借助于asymptotically自治的系统的理论给完全质的分析。如果足够的接触率或能力是小的，向后的分叉发生，这被发现。在那里存在，也被发现双稳态地方性的equilibria。在导致疾病的死亡的情况中，向后的分叉也发生，这被显示出。而且，在一些条件，和潜水艇下面没有限制周期批评Hopf分叉发生在另外一个下面条件。

简介：Thispaperdealswiththebifurcationproblemsofmultiparameterandmultibranchandtheirapproximations.Itderivesgeneralapproximationresultsofsolutionbranchesintheneighbourhoodofasingular(limit,turningormultibranch)point,andshowsthatturningandmultibranchpointsarebifurcationpoints.TheabstracttheoriesareappliedtoamixedfiniteelementapproximationofstationaryNavier-Stokesequation.

简介：AnSMIBmodelinthepowersystems,especiallythatconceringtheeffectsofhardlimitsonbifurcations,chaosandstabilityisstudied.Parameterconditionsforbifurcationsandchaosintheabsenceofhardlimitsarecomparedwiththoseinthepresenceofhardlimits.Ithasbeenprovedthathardlimitscanaffectsystemstability.Wefindthat(1)hardlimitscanchangeunstableequilibriumintostableone;(2)hardlimitscanchangestabilityoflimitcyclesinducedbyHopfbifurcation;(3)persistenceofhardlimitscanstabilizedivergenttrajectorytoastableequilibriumorlimitcycle;(4)HopfbifurcationoccursbeforeSNbifurcation,sothesystemcollapsecanbecontrolledbeforeHopfbifurcationoccurs.Wealsofindthatsuitablelimitingvaluesofhardlimitscanenlargethefeasibilityregion.Theseresultsarebasedontheoreticalanalysisandnumericalsimulations,suchasconditionforSNBandHopfbifurcation,bifurcationdiagram,trajectories,Lyapunovexponent,Floquetmultipliers,dimensionofattractorandsoon.

简介：Theeffectofmaterialanisotropyonthebifurcationforvoidtormationinanisotropiccompressiblehyperelasticmaterialsisexamined.Numericalsolutionsareobtainedinananisotropicsphere,whosematerialistransverselyisotropicintheradialdirection.Itisshownthatthebifurcationmayoccureithertotherightortotheleft,dependingonthedegreeofmaterialanisotropy.Thedeformationandstresscontributioninthespherebeforecavitationaredifferentfromthoseaftercavitation.Thestabilityofsolutionsisdiscussedthroughacomparisonofenergy.

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简介：轨道的分叉扭动有nonhyperbolicequilibria的homoclinic循环被调查。由在不受搅乱的homoclinic轨道附近构造本地坐标系统，PoincarHomoclinic轨道；周期的轨道；本地坐标系统；Poincar

简介：有二个参数的动态系统的分叉性质在这份报纸被调查。设置的转变的定义被建议，并且开发的途径被用来与非线性的反馈控制器调查非线性的强迫的未击中的系统的动态特征。整个参量的飞机被转变集合划分成几个坚持的区域，然后在不同坚持的区域的分叉图被获得。关键词二个参数-分叉-单个分析工程被中国(10632040)的国家自然科学基础支持。

简介：Thispaperpresentstheexperimentalresultsonthedistributionofsedimentsatchannelbifurcation.Theexperimentshavebeenconductedinaphysicalmodelofchannelbifurcation.Itconsistsofastraightmainchannelwhichbifurcatesintotwobranchchannelsofdifferentwidths.Thetestrigisamobilebedwithfixedbank.Fourdifferentnoseshavebeenusedtostudythephenomenon.Foreachnose,threeupstreamdischargesviz.20l/s,30l/sand40l/shavebeenemployed.Fromthemeasureddata,dischargesandsedimenttransportratiosperunitwidtharecalculatedinthedownstreambranches.Thesedatahavebeensettothegeneralnodalpointrelationandasetofequationshasbeendevelopedtodescribethedistributionofsedimentstothedownstreambranchesfordifferentnoseangles.

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简介：点火的分叉分析和催化燃烧在的扑灭一突然微隧道被执行，laminar模型作为流动模型合并了。横向的Thiele模量和滞留时间的平方被用作分叉参数。点火和扑灭行为上的不同参数的影响被调查。所有这些参数在点火和扑灭的分叉行为上有大效果在，这被显示出突然微隧道。燃烧的分叉行为上的流动模型的效果也被分析。结果证明与扁平的速度侧面模型比较，为laminar模型的案例，点火的温度和燃烧的扑灭更高，不稳定的多重答案区域更大。

简介：Inthispaper,westudythelocalbifurcationofcriticalperiodsnearthenondegeneratecenter(theorigin)ofaclassofLiénardequationswithdegree2n,andprovethatatmost2n-2criticalperiods(takenintoaccountmultiplicity)canbeproducedfromaweakcenteroffiniteorder.Wealsoprovethatitcanhaveexactly2n-2criticalperiodsneartheorigin.

简介：ＡＮＥＷＤＥＴＥＣＴＩＮＧＭＥＴＨＯＤＦＯＲＣＯＮＤＩＴＩＯＮＳＯＦＥＸＩＳＴＥＮＣＥＯＦＨＯＰＦＢＩＦＵＲＣＡＴＩＯＮＳＨＥＮＪＩＡＱＩ（沈家骐）；ＪＩＮＧＺＨＵＪＵＮ（井竹君）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｄｏｎｇＵｎ...

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简介：FlowfieldsaroundarotatingcircularcylinderinauniformstreamarecomputedusingalowdimensionalGalerkinmethod.ResultsshowthattheformationofaFopplevortexpairbehindastationarycircularcylinderiscausedbythestructuralinstabilityinthevicinityofthesaddlelocatedattherearofthecylinder.Forrotatingcylinderabifurcationdiagramwiththeconsiderationoftwoparameters,ReynoldsnumberReandrotationparameterα,isbuiltbyakinematicanalysisofthesteadyflowfields.