简介:StabilityisofextremeimportancetoChinawhichisfocusingoneconomicdevelopment,reformandopeningup.Withoutstability,thereisnowayofcarryingoutreformandopeningup,letaloneeconomicdevelopment.JustasDengXiaopingsaid,"Withoutastableenvironment,nothingcouldbeaccomplished."StabilityhasensuredasustainableandrapiddevelopmentofChinaintheseyears.WhycanChinamaintainstability?SomepeopleintheWestaccuseChinaofautocracy,sayingthatthestressofstabilityisnothingbutapretextofsuppressingdemocracy
简介:Thispaperdescribessomeinertialalgorithmsfortheapproximationofnonlincarevolutionequationsandstudiesaprioriestimatesoftheapproximatesolutiomandthestabilityoftheinertialalgorithms.
简介:RelativestabilitymarksthecurrentRussianscene.Yetuncertaintieslingerandfreshtroublesarebrewing.PresidentBorisYeltsinwonabigvictorywiththeadoptionofthenewconstitutionbyplebisciteandaslightmajorityofsup-portersinthenewDuma.Thenationalyearningsforstabilityalsoworkinhisfa-vor.However,thepolitical,economicandsocialcriseshestillfacesaredaunting.Andthedisputeoverthenecessityofpresidentialreelectionmayflareupagainin
简介:PotentialenergysurfaceofHNOSsystemisinvestigatedbymeansofMP2methodwith6-311++G(d,p)basisset.TheenergyforeachminimumandsaddlepointonthepotentialenergysurfaceiscorrectedattheQCISD(T)/6-311++G(3df,2p)leveloftheorywithzero-pointvibrationalenergyincluded.Asaresult,eighteenisomersaretheoreticallypredictedandcis-HNSOisfoundtobeglobalminimumonthepotentialenergysurface,Wherein,fourteenisomersareconsideredaskineticallystablespecies,andshouldbeexperimentallyobserved.ComparisonsaremadeforHNOSsystemwithitsanalogues,HNO2andNHS2.Thenatureofbondingandisomers'stabilityofHNOSsystemaresimilartoHNS2.TheobvioussimilaritiesanddiscrepanciesamongHNOS,HNO2andHNS2areattributedtothehypervalentcapacityofsulfur,oxygenandnitrogenatoms.
简介:Thealmostsurestabilityofhomogeneousviscoelasticplatessubjectedtoarandomwide-bandstationaryin-planeloadisinvestigated.TheviscoelasticbehavioroftheplateisdescribedintermsoftheBo-ltzmannsuperpositionprinciple,therelaxationkernelsofwhicharerepresentedbythesumsofexponents.Ontheassumptionthatthein-planeloadisrandomwide-bandstationaryprocess,sufficientconditionsforal-mostsurestabilityofviscoelasticplatesareobtainedbytheapplicationsofLyapunov’sdirectmethod.
简介:Inthispaper,weformulateauniformmathematicalframeworkforstudyingswitchedsystemswithpiecewiselinearpartitionedstatespaceandstatedependentswitching.Basedonknownresultsfromthetheoryofdifferentialinclusions,wedeviseaLyapunovstabilitytheoremsuitableforthisclassofswitchedsystems.Withthis,weproveaLyapunovstabilitytheoremforpiecewiselinearswitchedsystemsbymeansofaconcreteclassofLyapunovfunctions.Contrarytoexistingresultsonthesubject,thestabilitytheoremsinthispaperincludeFilippov(orrelaxed)solutionsandallowinfiniteswitchinginfinitetime.Finally,weshowthatforaclassofpiecewiselinearswitchedsystems,theinertiaofthesystemisnotsufficienttodetermineitsstability.Anumberofexamplesareprovidedtoillustratetheconceptsdiscussedinthispaper.
简介:Thestabilityofriverbankssubjecttoseepageisstudiedexperimentallyandtheoreticallyinthispaper.Byincludingseepageina3-dimensionaltheoreticalanalysis,thestudyfirstshowshowthecriticalslopeorangleofreposeofacohesionlessmaterialisrelatedtotheratioofthehydraulicgradientofseepagetoitscriticalvalueunderthefluidizationcondition.Thecriticalstableslopeisshowntoberelatedtonotonlythehydraulicgradientbutalsotheseepagedirection.Measuredlaboratorydatareasonablyfitwellwiththetheoreticalrelationshipforthecaseofinjectionandsuction.Thedatarevealthattheslopeisreducedwithinjectionandincreasedwithsuction,respectively.Additionally,thestudyidentifiestheseepagedirectionwhichresultsinaminimumcriticalstableslopeforacertainhydraulicgradientofseepage.
简介:Asingle-axisfluxdecaymodelincludinganexcitationcontrolmodelproposedin[12,14,16]isstudied.AsthebifurcationparameterPm(inputpowertothegenerator)varies,thesystemexhibitsdynamicsemergingfromstaticanddynamicbifurcationswhichlinkwithsystemcollapse.Weshowthattheequilibriumpointofthesystemundergoesthreebifurcations:onesaddle-nodebifurcationandtwoHopfbifurcations.Thestatevariablesdominatingsystemcollapsearedifferentfordifferentcriticalpoints,andtheexcitativecontrolmayplayanimportantroleindelayingsystemfromcollapsing.Simulationsarepresentedtoillustratethedynamicalbehaviorassociatedwiththepowersystemstabilityandcollapse.Moreover,bycomputingthelocalquadraticapproximationofthe5-dimensionalstablemanifoldatanorder5saddlepoint,ananalyticalexpressionfortheapproximatestabilityboundaryisworkedout.
简介:Thestabilityofthethinliquidfilminacapillaryisimportanttothephase-changeheattransferprocessinminiatureofmicrostructures.Fromthebasicequationsformotionandheattransferattheinterfaceofthefilm,itsstabilityistheoreticallystudied.Withevaluationoftheeffectsandrelativemagnitudesofvariousdrivingforcesandwiththeuseoflong-wavetheoryinadditiontolinearstabilityanalysis,thecontrollingequationsaresimplifiedandanevolutionequationforthefilm'sthicknessisobtained.Detailedanalysisontheevolutionequationshowsthatinstabilityoccursfirstinthemeniscusregionandtheinstabilityconditionvarieswithboundaryconditions,geometricalscalesandthermalproperties.Thenumericalresultsagreewellwithearlieroneswithsomefavorableextensionsandimprovements.
简介:Inthispaper,adiscrete-timeanalysisofthethird-ordercharge-pumpbasedphase-lockedloops(CPLLs)ispresentedinthepresenceofloopdelay.Thez-domainanalysisoftheclosed-looptransferfunctionisderivedandcomparedwiththetraditionals-domainmethod.ThesimulationresultsunderSPECTREshowthat,duetothesamplingnatureofCPLL,thetraditionals-domainanalysisisunabletopredictitsjitterpeakingaccurately,especiallywhentheloopdelayistakenintoconsideration.Theimpactofloopdelayonthestabilityofthethird-orderCPLLsystemisfurtheranalyzedbasedontheproposedway.ThestabilitylimitofthewidebandwidthCPLLwithloopdelayiscalculated.Thecircuitsimulationresultsagreewellwithmathematicalanalysis.
简介:Alinearstabilityanalysisisperformedforaplumeflowinsideacylinderofaspectratio1.TheconfigurationisidenticaltothatusedbyLopezandMarques(2013)fortheirdirectnumericalsimulationstudy.Itisfoundthatthefirstbifurcation,whichleadstoaperiodicaxisymmetricflowstate,isaccuratelypredictedbylinearanalysis:boththecriticalRayleighnumberandtheglobalfrequencyareconsistentwiththereportedDNSresults.Itisfurthershownthatpressurefeedbackdrivestheglobalmode,ratherthanabsoluteinstability.
简介:与搏动在magneto-hydro-dynamic泵为充分发达的流动驱动器的稳定性在这糊一个分析解决方案横向的Eletro磁性的领域被介绍。做这,流动的一个理论模型被开发,分析结果被获得因为两个都对合适的圆柱、笛卡儿的配置在海洋的容器的推进使用。管理寓言的动量PDE用近似速度分发被转变成一个平常的微分方程。数字结果被获得,asymptotic分析被造发现答案的数学行为。在为斯图亚特数字,电磁的相互作用数字,雷纳兹数字,方面比率,以及磁性、电的尖频率和阶段角度的移动的各种各样的价值的magneto-hydro-dynamic泵对时间的最大的速度被介绍。结果证明为一个高级斯图亚特数字,为在流动的某个方向的液体流动的稳定性有频率限制。这稳定性频率依赖于一条隧道的几何参数。
简介:Theimportanceofcosmologicalconstantforthecosmologicalmodelsisgiven.Thevariationsofthecosmologicalmodelforparametersλandkwerediscussedrespectively.Nearλ=0,thecosmologicalmodelisunstablewiththechangeofλ,andnearλ=β=0,thecosmologicalmodelisunstablewiththechangeofk.Sowhenweconsiderthestablecosmologicalmodel,wemustconsiderthenonzerocosmologicalconstant.
简介:Inthepasttenyearssince9/11,terrorismhasbecomeagrowingthreattointernationalsecurity,andtopeople'slivesandproperty.Increasingincidentsofterrorismhaveunderlinedthefundamentalstructuralflawsintheinternationalsystem,showingthatAmericanhegemonyhasreachedacertainlimit.NotonlyhavethemajorsecurityconcernsoftheUnitedStateschanged,butexistinginternationalstrategicrelationshavealsobeenshaken.Thishasdirectlyaffectedglobalstrategicstability.
简介:LetT=(T(t))t≥0beaboundedC-regularizedsemigroupgeneratedbyAonaBanachspaceXandR(C)bedenseinX.WeshowthatifthereisadensesubspaceYofXsuchthatforeveryx∈Y,σu(A,Cx),thesetofallpointsλ∈iRtowhich(λ-A)^-1Cxcannotbeextendedholomorphically,isatmostcountableandσr(A)NiR=Ф,thenTisstable.AstabilityresultforthecaseofR(C)beingnon-denseisalsogiven.Ourresultsgeneralizetheworkonthestabilityofstronglycontinuoussenfigroups.