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1.
IntroductionTransientstateanalysishasbeenanactiveresearchareainmanyengineeringproblems.Inpracticalsituation ,likestructuralmechanics,thesystemsbeingstudiedareusuallynonlinearandtime_dependent.Theanalyticalmethodstosolvetheseproblemsareimpossible .Thenum… 相似文献
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丁灯 《应用数学和力学(英文版)》2000,21(9):1079-1090
IntroductionThestochasticoptimalcontrolproblemsofreflecteddiffusionprocesseshasbeenconsideredbysomemathematicians,forinstance ,P .L .Lionsin [1 ] ,andJ.L .MenaldiandM .Robinin[2 ] .Inthispaper,wewillconsiderastochasticoptimalcontrolproblemofreflecteddiffusionswit… 相似文献
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齐朝晖 《应用数学和力学(英文版)》2002,23(2):187-193
IntroductionManymechanicalsystemscanbeviewedaslinearHamiltoniansystems.Whenwestudytheeffectsofsystemparametersonthebehaviorofthesystems,thesystemcanberegardedasthesystemdependingonparameters.Veryimportantsystemparameters ,suchascriticalload ,criticalang… 相似文献
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IntroductionMostnonlineardynamicsystemsaremulti_degree_of_freedomsystemsinthefieldofengineering[1,2 ],nonlineardynamicsystemsdonothaveexactlytheoreticsolutions.Therefore,itisafocalpointconcernedbyscientiststosearchforapproximatesolutionsforalongtime ,andr… 相似文献
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Thethreshold_crossingofstochasticprocessesisaproblemoftenencounteredinthestudyofvariousphysicalphenomena .Theterm ,threshold_crossing ,isusedtoindicateacertainfixedvaluebeingcrossedbytheoscillatingrealizationζ(1) (t)ofastochasticprocessζ(t) ,asshownbythetypi… 相似文献
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陈立群 《应用数学和力学(英文版)》2001,22(11):1301-1305
IntroductionTheMelnikovmethodfordetectingchaos[1]hasbeenextendedtohigh_dimensionalsystemswithslowly_varyingangleparameters ,butthecorrespondingunperturbedintegrablesystemsarerequiredtobeHamiltonian[2 ].Forperturbedplanarnon_Hamiltonianintegrablesystems,th… 相似文献
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IntroductionIntheindustrialpractice ,manycontrolproblemofsystemscanbestudiedthroughinterconnectedsystems.Earlierresearchoninterconnectedsystemfocusedonpowersystem[1,2 ],controlofdistributedsystems (e .g .,regulationofseismiccables,vibrationcontrolinbeams,etc.) … 相似文献
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A Universal Matrix Perturbation Technique for Complex Modes 总被引:1,自引:0,他引:1
IntroductionMatrixperturbationmethodsforthedynamicreanalysisofself_adjointsystemshavebeenwelldeveloped[1] .However,manysystemsgiverisetogeneralnon_self_adjointformulations.Importantexamplesareaeroelasticstabilityofsystems,arbitrarilydampedorgyroscopicsys… 相似文献
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IntroductionItisanimportanttopictosearchfornewintegrablesystemsissolitontheory .Inrecentyears,twoveryeffectiveapproachesthatproduceinfinite_dimensionalandfinite_dimensionalintegrableHamiltoniansystemsrespectivelyhavebeendeveloped .Thefirstoneisthetrace… 相似文献
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STUDY FOR THE BIFURCATION TOPOLOGICAL STRUCTURE AND THE GLOBAL COMPLICATED CHARACTER OF A KIND OF NONLINEAR FINANCE SYSTEM(Ⅱ) 总被引:1,自引:0,他引:1
IntroductionChaoticistheinherentrandomnessinthedefinitesystem .Thedefinitenessiscausedbythesysteminternalsbutnotbytheexternaldisturbance,whiletheinherentrandomnessistheirregularanddifficult_to_be_predictedbehaviorofthesystem .Whatismostattractiveofthec… 相似文献
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STUDY FOR THE BIFURCATION TOPOLOGICAL STRUCTURE AND THE GLOBAL COMPLICATED CHARACTER OF A KIND OF NONLINEAR FINANCE SYSTEM(Ⅰ) 总被引:1,自引:0,他引:1
IntroductionChaoticistheinherentrandomnessinthedefinitesystem .Thedefinitenessiscausedbythesysteminternalsbutnotbytheexternaldisturbance[1- 4],whiletheinherentrandomnessistheirregularanddifficult_to_be_predictedbehaviorofthesystem[5 ,6 ].Whatismostattractive… 相似文献
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IntroductionAsanenrollednewdisciplineinChineselibraryclassificationpansystemstheoryisatransfieldmultilayernetwork_likeresearchwiththeemphasisonpansystems ,whichexplorescertaincombinationsofmathematicalthinking ,systemsthinking ,dialecticalthinkingandpoe… 相似文献
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Modeling and analysis of a coupled rigid-flexible system 总被引:1,自引:0,他引:1
IntroductionManymechanicalsystemssuchasrobotmanipulator,turbineblades,helicopterpropellerandman_madesatellitewithflexibleattachmentsarecomposedofrigidandflexiblebodies.Theyarecalledcoupledrigid_flexiblesystems.Correctpredictionsofthebehaviorofflexibl… 相似文献
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IntroductionThestudyofrandomparametricexcitedsystemsaremoreimportantthanthatofrandomexternalexcitedones,andaretheoreticallymoredifficultespeciallywhentheexcitationsarenarrow_bandrandomprocesses[1].Inthecasewhenthesystemsareexcitedbycombineddeterministi… 相似文献
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IntroductionArefinedepitomeofvariouspansystemsmethodsistocomprehendandoperateabout 2 0pansystemscategorieswhichcanbeexpandedasthefollowingpithyformulasexpressions:Thepanderivatives (orthechange_changerelations)oftheexterior_interior(orthefunction_structu… 相似文献
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吴陈 《应用数学和力学(英文版)》1999,20(7):819-822
IntroductionPansystemsmethodologygeneralizesthetraditionalautomationmodel,troublediagnosticmodel,artificialneuralnetworkmodel... 相似文献
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IntroductionParametricalyexcitedvibrationshavebenextensivelyappliedtoinengineringsystems[1],suchasthevibrationofmachines,dyna... 相似文献
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IntroductionWhenanalyzingthedynamicinteractionofasoil_structuresystem,thekeystepistocalculatethedynamicstiffnessmatrixoftheso... 相似文献
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IntroductionTurbulentflowisanonlinearstochasticprocessandoneofitsbasiccharacteristicsislargereffectivetransportcapabilitythanthatoflaminarflow .Ingeneral,transportinfluidsisgradient,i.e.momentum ,energyaretransportedfromthehighervalueregiontothelowervalu… 相似文献
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Controllingchaoshasdrawnincreasingattentionbecauseofitstheoreticalimportanceandpossibleapplications,andmuchprogresshasbeenachieved[1~4].Theexactlinearizationisanimportantapproachtoanalyzeanddesignnonlinearcontrolsystems,andhasbeenemployedtocontrolcha… 相似文献