魏俊傑[教授]

魏俊傑[教授]
魏俊傑[教授]
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魏俊傑,教授,博士生導師。

【個人經歷】

1975—1978:東北師範大學數學系,學生
魏俊傑教授魏俊傑教授

1992—1995:吉林大學數學研究所,獲博士學位
1978—2001:東北師範大學助教(1986)、講師(1988)、
副教授(1994)、教授(2001)
2002—現在:哈爾濱工業大學數學系教授
其中:
1982.3--1983.1安徽大學進修
1993.5--1994.2加拿大York大學訪問學者
1997.9--1998.4加拿大Dalhousie大學訪問學者
2000.5--2000.7美國Mississippi州立大學訪問學者
2002.1--2003.1西班牙Complutense大學博士後
2003年以來多次訪問加拿大的Alberta大學和Memorial大學

【研究方向】

微分方程與動力系統

【論著成果】

1.發表學術論文100餘篇,其中已被SCI檢索60餘篇。2001年以來發表的主要論文目錄:
[1]F.Yi,J.WeiandJ.Shi,BifurcationandspatiotemporalpatternsinahomogeneousdiffusivePredator–preysystem,J.DifferentialEquations,246(2009)1944-1977
[2]D.FanandJ.Wei,Bifurcationanalysisofdiscretesurvivalredbloodcellsmodel,CommunicationsinNonlinearScienceandNumericalSimulation,14(2009)3358-3368
[3]F.Yi,J.WeiandJ.Shi,GlobalasymptoticalbehavioroftheLengyel–Epsteinreaction–diffusionsystem,AppliedMathematicsLetters,22(2009)52-55
[4]B.NiuandJ.Wei,Stabilityandbifurcationanalysisinanamplitudeequationwithdelayedfeedback,Chaos,Solitons&Fractals,37(2008)1362-1371
[5]C.WangandJ.Wei,NormalformsforNFDEswithparametersandapplicationtothelosslesstransmissionline,NONLINEARDYNAMICS,52(2008)199-206
[6]F.Yi,J.WeiandJ.Shi,Diffusion-driveninstabilityandbifurcationintheLengyel–Epsteinsystem,NonlinearAnalysis:RealWorldApplications,9(2008)1038-1051
[7]Z.JiangandJ.Wei,StabilityandbifurcationanalysisinadelayedSIRmodel,Chaos,Solitons&Fractals35(2008)609-619
[8]C.WangandJ.Wei,BifurcationAnalysisonaDiscreteModelofNicholsonBlowflies,J.DifferenceEquationsandApplications14(2008)7:737-746
[9]J.WeiandC.ZhangBifurcationanalysisinaclassofneuralnetworkswithdelays,NonlinearAnalysisSeriesB:RealWorldApplications9(2008)5:2234-2252
[10]A.WanandJ.Wei,Bifurcationanalysisinanapproachablehaematopoieticstemcellsmodel,J.Math.Anal.Appl.245(2008)276-285
[11]J.Fang,J.WeiandX.Zhao,Spatialdynamicsofanonlocalandtime-delayedreaction-diffusionsystem,J.DifferentialEquations245(2008)2749-2770
[12]W.JiangandJ.Wei,BifurcationanalysisinvanderPol'soscillatorwithdelayedfeedback,J.ComputationalandAppliedMathematics,213(2008)604-615
[13]D.FanandJ.Wei,Hopfbifurcationanalysisinatri-neuronnetworkwithtimedelay,NonlinearAnalysis:RealWorldApplications,9(2008)9-25
[14]Y.Song,Y.PengandJ.Wei,Bifurcationsforapredator-preysystemwithtwodelays.J.Math.Anal.Appl.377(2008)466-479.
[15]Y.QuandJ.Wei,Bifurcationanalysisinatime-delaymodelforprey-predatorgrowthwithstage-structure,Nonlinear.Dynamics49(2007)285-294
[16]Y.Song,J.WeiandY.Yuan,StabilityswitchesandHopfbifurcationsinapairofdelay-coupledoscillators,J.NonlinearSciences17(2007)145-166
[17]J.WeiandD.Fan,HopfbifurcationanalysisinaMackey-Glasssystem,International.J.BifurcationandChaos17(2007)6:2146-2157
[18]J.Wei,Bifurcationanalysisinascalardelaydifferentialequation,Nonlinearity20(2007)2483-2498
[19]Y.Yuan,andJ.Wei,Singularityanalysisonaplanarsystemwithmultipledelays,J.Dynam.Diff.Equns19(2007)2:437-456
[20]Y.Song,J.WeiandY.Yuan,Bifurcationanalysisonasurvivalredbloodcellsmodel,J.Math.Anal.Appl.316(2006)459-471
[21]J.WeiandW.Jiang,Stabilityandbifurcationanalysisinaneuralnetworkmodelwithdelays,DYNA.CONTI.DIS.IMPUL.SYST.A:MathematicalAnalysis13(2006)177-192
[22]J.WeiandX.Zou,BifurcationanalysisofapopulationmodelandtheresultingSISepidemicmodelwithdelays,J.Comp.Appl.Math197(2006)1:169-187
[23]Y.YuanandJ.Wei,Multiplebifurcationanalysisinaneuralnetworkmodelwithdelays,International.J.BifurcationandChaos16,No.10(2006)2903-2913
[24]W.JiangandJ.Wei,StabilityandbifurcationanalysisinVanderPoloscillatorwithdelayedfeedback,J.SoundandVibration283(2005)801-819
[25]W.JiangandJ.Wei,Bifurcationanalysisinalimitcycleoscillatorwithdelayedfeedback,Chaos,Solitons&Fractals,23(2005)817-831
[26]Y.Song,M.HanandJ.Wei,StabilityandHopfbifurcationanalysisonasimplifiedBAMneuralnetworkwithdelays,PhysicaD:NonlinearPhenomena,200(2005)185-204
[27]X.LiandJ.Wei,Stabilityandbifurcationanalysisonadelayedneuralnetworkmodel,International,J.BifuecationandChaos15(2004)11:28839-2893
[28]Y.SongandJ.Wei,LocalHopfbifurcationandglobalperiodicsolutionsinadelayedpredator–preysystem,J.Math.Anal.Appl.301(2005)1:1-21
[29]J.WeiandMichael.Y.LiHopfbifurcationanalysisinadelayedNicholsonblowfliesequation,NonlinearAnalysis60(2005)7:1351-1367
[30]J.WeiandC.Zhang,Bifurcationinatwo-dimensionalneuralnetworkmodelwithdelay,AppliedMathematicsandMechanics-English26(2005)2:210-217
[31]J.WeiandY.Yuan,SynchronizedHopfbifurcationanalysisinaneuralnetworkmodelwithdelays,J.Math.Anal.App.312(2005)1:205-229
[32]X.LiandJ.Wei,Onthezerosofafourthdegreeexponentialpolynomialwithapplicationstoaneuralnetworkmodelwithdelays,Chaos,Solitons&Fractals,26(2005)519-526
[33]Y.Song,J.WeiandM.Han,LocalandglobalHopfbifurcationinadelayedhematopoiesismodelInternational,J.BifuecationandChaos14(2004)11:3909-3919
[34]J.WeiandM.G.Velarde,Bifurcationanalysisandexistenceofperiodicsolutionsinasimpleneuralnetworkwithdelays,Chaos14(2004)3:940-953
[35]X.MengandJ.Wei,Stabilityandbifurcationofmutualsystemwithtimedelay,Chaos,SolitonsandFractals21(2004)729-740
[36]C.ZhangandJ.Wei,Stabilityandbifurcationanalysisinakindofbusinesscyclemodelwithdelay,Chaos,SolitonsandFractals22(2004)883-896
[37]J.WeiandC.Zhang,Stabilityanalysisinafirst-ordercomplexdifferentialequationswithdelay,NonlinearAnalysis59(2004)657-671
[38]J.WeiandMichaelY.Li,Globalexistenceofperiodicsolutionsinatri-neuronnetworkmodelwithdelays,PhysicaD198(2004)106-119
[39]Y.SongandJ.Wei,BifurcationanalysisforChen-ssystemwithdelayedfeedbackanditsapplicationtocontrolofchaos,Chaos,SolitonsandFractals22(2004)75-91
[40]R.Zhang,J.WeiandQ.Huang,Hopfbifurcationsofbi-parameterordinarydifferentialsystems,InternationalJournalofifurcationandChaos2003
[41]S.Ruan,J.WeiandJ.Wu,Bifurcationfromahomoclinicorbitinpartialfunctionaldifferentialequations,DiscreteandContinuousDynamicalSystemsA.9(2003)5:1293-1322
[42]R.Zhang,J.WeiandQ.Huang,Hopfbifurcationsofbi-parameterordinarydifferentialequationsInternational,J.BifurcationandChaos13(2003)1545-1560
[43]S.RuanandJ.Wei,Onthezerosoftranscendentalfunctionswithapplicationstostabilityofdelaydifferentialequationswithtwodelays,DYNA.CONTI.DIS.IMPUL.SYST.A:MathematicalAnalysis10(2003)863-874
[44]D.JiangandJ.Wei,Monotonemethodforfirstandsecond-orderperiodicboundaryvalueproblemsandperiodicsolutionsoffunctionaldifferentialequations,NonlinearAnalysis50(2002)885-898
[45]魏俊傑,阮士貴,中立型微分方程零解的穩定性與Hopf分支,數學學報,49(2002)1:93-104
[46]J.WeiandM.G.Velarde,Oscillatoryphenomenaandstabilityofperiodicsolutionsinasimpleneuralnetworkwithdelay,NonlinearPhenomenainComplexSystems5(2002)4:407-417
[47]R.Zhang,J.WeiandJ.Wu,Onsubharmonicsolutionsofsystemsofdifferenceequationswithperiodicperturbations.PartI:Existence,J.Math.Anal.Appl275(2002)495-511
[48]R.Zhang,J.WeiandJ.Wu,Onsubharmonicsolutionsofsystemsofdifferenceequationswithperiodicperturbations.PartII:multiplicityandstability,J.Math.Anal.Appl.276(2002)477-496
[49]S.RuanandJ.Wei,Onthezerosofthirddegreeexponentialpolynomialwithapplicationstoadelayedmodelforthecontroloftestosteron,IMAJ.Math.Appl.Medi.Bio18(2001)41-52
[50]D.JiangandJ.Wei,ExistenceofpositiveperiodicsolutionsforVolterraintergo-differentialequations,數學物理學報(英文版),21B(2001)4:553-560
2.科研項目:
(1)非線性泛函微分方程理論及套用,國家自然科學基金重點項目(1999.1-2003.12),項目組成員;
(2)時滯微分方程的分支理論及套用,國家自然科學基金面上項目(2005.1-2008.12),主持人;
(3)泛函微分方程的分支理論及套用,教育部博士點基金項目(2006.1-2009.12),主持人;
(4)具時滯的動力系統的分支理論及套用,國家自然科學基金面上項目(2009.1-2011.12),主持人.
3.為第一作者的項目“泛函微分方程的分支理論及套用”獲黑龍江省2006年自然科學二等獎。

【教學活動】

常微分方程——本科
偏微分方程——本科
泛函微分方程——研究生
常微分方程分支理論——研究生

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