简介:Thispaperanalyzesthedynamicsofnonlinearmultivariatetimeseriesmodelsthatisrepresentedbygeneralizedimpulseresponsefunctionsandasymmetricfunctions.Weillustratethemeasuresofshockpersistencesandasymmetriceffectsofshocksderivedfromthegeneralizedimpulseresponsefunctionsandasymmetricfunctioninbivariatesmoothtransitionregressionmodels.TheempiricalworkinvestigatesabivariatesmoothtransitionmodelofUSGDPandtheunemploymentrate.
简介:Theoptimizationproblemisconsideredinwhichtheobjectivefunctionispseudolinear(bothpseudoconvexandpseudoconcave)andtheconstraintsarelinear.Thegeneralexpressionfortheoptimalsolutionstotheproblemisderivedwiththerepresentationtheoremofpolyhedralsets,andtheuniquenessconditionoftheoptimalsolutionandthecomputationalprocedurestodeterminealloptimalsolutions(iftheuniquenessconditionisnotsatisfied)areprovided.Finally,anillustrativeexampleisalsogiven.
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简介:Themethodofthephaseplaneisemploiedtoinvestigatethesolitaryandperiodictravelingwavesforaclassofnonlineardispersivepartialdifferentialequations.Byusingthebifurcationtheoryofdynamicalsystemstodoqualitativeanalysis,allpossiblephaseportraitsintheparametricspaceforthetravelingwavesystemsareobtained.Itcanbeshownthattheexistenceofasingularstraightlineinthetravelingwavesystemisthereasonwhysmoothsolitarywavesolutionsconvergetosolitarycuspwavesolutionwhenparametersarevaried.Thedifferentparameterconditionsfortheexistenceofsolitaryandperiodicwavesolutionsofdifferentkindsarerigorouslydetermined.
简介:Inthispaper,accordingtotheformoftheasymptoticsolutionofpapers[1,2],theasymptoticmethodisextendedtothefollowingaclassofmoregeneralstrongnonlinearvibrationsystems(?)+g(x,(?))=(?)f(x,(?))(0.1)wheregandfarethenonlinearanalytical-functionsofxandx,and(?)>0isasmallparameter.Weassumethatthederivativesystemcorrespondingto(?)=0hasperiodicsolution.Therecurrenceequationsoftheasymptoticsolutionforthesystem(0.1)arededucedinthispaper,andtheyareappliedtopracticalexamples.
简介:ThispaperpresentsaunifieddiagnosticmethodforexponentialnonlinearmodelswithrandomeffectsbaseduponthejointlikelihoodgivenbyRobinsonin1991.Theauthorsshowthatthecasedeletionmodelisequivalenttomeanshiftoutliermodel.Fromthispointofview,severaldiagnosticmeasures,suchasCookdistance,scorestatisticsarederived.ThelocalinfluencemeasureofCookisalsopresented.Numericalexampleillustratesthatourmethodisavailable.
简介:ThispaperdiscussesthenonlinearstabilitybehaviourofdistortedplaneCouetteflowto2-dimensionaldisturbances,andcomparesitwiththatofdistortedplanePoiseuilleflow.TheresultsshowthatplaneCouetteflowismoreunstablethanplanePoiseuilleflowtofinite-amplitudedisturbances.
简介:Basedonphase-planeorbitanalysis,themathematicalmodelofpiecewise-smoothsystemsofmulti-degree-of-freedomunderthemodecoordinateisestablished.Approximateanalyticalsolutionunderthephysicalcoordinateofmulti-degree-of-freedomself-excitedvibrationinducedbydryfrictionofpiecewise-smoothnonlinearsystemsisderivedbymeansofaveragemethod,theresultsofwhichagreewiththoseofthenumericalsolution.Aneffectiveandreliableanalyticalmethodinvestigatingpiecewise-smoothnonlinearsystemsofmulti-degree-of-freedomhasbeengiven.Furthermore,thispaperqualitativelyanalysesthecurvesaboutstationaryamplitudeversusrubbingvelocityofhandsandversusnaturalfrequencyofhands,andaboutangularfrequencyversusrubbingvelocityofhands.Theresultsprovideatheoreticalbasisforidentifyingparametersofthesystemandtheanalysisofsteadyregion.
简介:PIECEWISECONTINUOUSSOLUTIONSOFNONLINEARELLIPTICEQUATIONSINTHEPLANEDaiDaoQing(戴道清)(Deptofmath.,ZhongshanUniversity,Guangzhou51...
简介:BasedonexactGreenstrainofspatialcurvedbeam,thenonlinearstrain-displacementrelationforplanecurvedbeamwithvaryingcurvatureisderived.Insteadofusingthepreviousstraightbeamelements,curvedbeamelementsareusedtoapproximatethecurvedbeamwithvaryingcurvature.Basedonvirtualworkprinciple,rigid-flexiblecouplingdynamicequationsareobtained.Physicalexperimentswerecarriedouttocapturethelargeoverallmotionandthestrainofcurvedbeamtoverifythepresentrigid-flexiblecouplingformulationforcurvedbeambasedoncurvedbeamelement.Numericalresultsobtainedfromsimulationswerecomparedwiththoseresultsfromthephysicalexperiments.Inordertoillustratetheeffectivenessofthecurvedbeamelementmethodology,thesimulationresultsofpresentcurvedbeamelementsarecomparedwiththoseobtainedbypreviousstraightbeamelements.Thedynamicbehaviorofaslider-crankmechanismwithaninitiallycurvedelasticconnectingrodisinvestigated.Theadvantageofemployinggeneralized-αmethodispointedoutandthespecialnonlineardynamiccharacteristicsofthecurvedbeamareconcluded.
简介:APRP-typesmoothingconjugategradientmethodforsolvinglargescalenonlinearcomplementarityproblems(NCP(F))isproposed.Ateachiteration,twoArmijolinesearchesareperformed,whichguaranteesthepositivepropertyofthesmoothingparameterandminimizesthemeritfunctionformedbyFischer-Burmeisterfunction,respectively.GlobalconvergenceisstudiedwhenF:R~n→R~nisacontinuouslydifferentiableP_0+R_0function.Numericalresultsshowthatthemethodisefficient.
简介:Anonlineardynamicanalysismodelisestabilishedonthebasisof"lumpedmass"approach,whichtakestheinfluenceofthefluidflowwithinthepipeintoconsideration.Numericalresultsarecomparedwiththepublishedworks,andtheeffectsofinternalfluidflow,internalpressure,dyanmicsaswellasthenonlinearcharacteristicsonthebehaviorofflexiblerisersarediscussed.Fromthiswork,someusefulconclusionsaredrawn.
简介:Thispaperisconcernedwiththeglobalboundednessproblemforaclassofstochasticnonlinearsystemswithmatchedconditions.Theuncertaintiesinthesystemsareduetoparametervariationsandexternalstochasticdisturbance.Onlythematchedconditionsandthepossibleboundoftheuncertaintiesaredemanded.BasedonthestochasticLyapunovstabilitytheory,anexplicitcontrollerisconstructedinthegradientdirection,whichrendersresponsesoftheclosed-loopsystemsbegloballyboundedinprobability.Whenthesystemsdegradetolinearsystems,thecontrollerbecomeslinear.Illustrativeexamplesaregiventoshowtheeffectivenessoftheproposedmethod.