导师介绍

导师姓名
张祥
导师性别男
职务职称教授.
所在院系理学院(数学系)
所属学科数学
研究方向常微分方程动力系统
联系电话021-34202648-1534
电子邮箱xzhang@sjtu.edu.cn

个人简介

张祥，教授、博士生导师。入选教育部新世纪优秀人才，上海市教委曙光学者和上海市科委浦江学者。1997年於南京大学获博士学位，师从叶彦谦先生。随后在西班牙巴塞罗那数学研究中心(CRM)做两年的博士后研究工作，合作者JaumeLlibre教授。2003.08-2004.08应邀在美国佐治亚理工学院从事教学与科研工作。2007.10-2008.09应邀在巴塞罗那自治大学进行合作研究。目前主要从事常微分方程的定性和分支理论，动力系统可积的代数、几何与拓扑，以及微分同胚嵌入流的存在性等方面的研究。成果分别获得教育部自然科学一等奖和上海市自然科学二等奖。当前研究的课题受到国家自然科学基金重点项目和上海市浦江计划等的资助。更详细的信息可从数学系的个人主页上查寻。
代表性论著

1.XiangZhang,GlobalStructureofQuaternionPolynomialDifferentialEquations,CommunicationsinMathematicalPhysics303(2011),301-3162.XiangZhang,TheembeddingflowsofC∞hyperbolicdiffeomorphisms,J.DifferentialEquations250(2011),2283-22983.F.Liu,J.LlibreandZhangXiang,HeteroclinicorbitsforaclassofHamiltoniansystemsonRiemannianmanifolds,DiscreteandContinuousDynamicalSystems29(2011),1097-11114.XiangZhang,Embeddingsmoothdiffeomorphismsinflows,J.DifferentialEquations,2010:248(7),1603-1616.5.J.LlibreandXiangZhang,RationalfirstintegralsinDarbouxtheoryofintegrabilityinC^n,Bull.Sci.Math.2010:134(2),189-195.6.XiangZhang,EmbeddingdiffeomorphismsinflowsinBanachspaces,ErgodicTheoryandDynamicalSystems2009:29(4),1349-1367.7.JaumeLlibreandXiangZhang,Hopfbifurcationinhigherdimensionaldifferentialsystemsviatheaveragingmethod,PacificJournalofMathematics2009:240(2),321-341.8.JaumeLlibreandXiangZhang,Darbouxtheoryofintegrabilityin$C^n$takingintoaccountthemultiplicity,J.DifferentialEquations2009:246(2),541-551.9.A.Gasull,J.LlibreandXiangZhang,One-dimensionalquaternionhomogeneouspolynomialdifferentialequations,J.MathematicalPhysics2009:50(8),082705.10.FeiLiu,ChengChenandXiangZhang,IntegrableHamiltoniansystemswithpositivetopologicalentropy,Bull.Sci.Math.2009:133(8),837--847.11.J.LlibreandXiangZhang,DarbouxtheoryofintegrabilityforpolynomialvectorfieldsinRntakingintoaccountthemultiplicityatinfinity,Bull.Sci.Math.2009:133(7),765--778.12.JianChen,YingfeiYiandXiangZhang,Firstintegralsandnormalformsforgermsofanalyticvectorfields,J.DifferentialEquations2008:245(5),1167-1184.13.XiangZhang,Analyticnormalizationofanalyticintegrablesystemsandtheembeddingflows,J.DifferentialEquations2008:244(5),1080-1092.14.JaumeLlibreandXiangZhang,OnthealgebraiclimitcyclesofLi\'enardsystems,Nonlinearity2008:21(9),2011-2022.15.ChengChen,JinlongCaoandXiangZhang,ThetopologicalstructureoftheRabinovichsystemhavinganinvariantalgebraicsurface,Nonlinearity2008:21(2),211--220.16.ChengChen,FeiLiuandXiangZhang,OrthogonalseparableHamiltoniansystemsonT^2,ScienceinChinaSer.A2007:50(12),1725--1737.17.XiangZhang,Planaranalyticsystemshavinglocallyanalyticfirstintegralsatanisolatedsingularpoint,Nonlinearity2004:17(3),791--801.18.WeiguLi,JaumeLlibreandXiangZhang,Melnikovfunctionsforperiodannulus,nondegeneratecenters,heteroclinicandhomocliniccycles,PacificJ.Math.2004:213(1),49--77.19.WeiguLi,JaumeLlibreandXiangZhang,Localfirstintegralsofdifferentialsystemsanddiffeomorphisms,Z.Angew.Math.Phys.2003:54(2),235-255.20.XiangZhang,InvariantalgebraiccurvesandrationalfirstintegralsofholomorphicfoliationsinCP(2),ScienceinChinaSeriesA2003:46(2),271-279.21.XiangZhang,ExponentialfactorsandDarbouxfirstinetgralsoftheLorenzsystem,J.Math.Phys.2002:43(10),4987-5001.22.JaumeLlibreandXiangZhang,Polynomialfirstintegralsforquasi-homogeneouspolynomialdifferentialsystems,Nonlinearity2002:15(4),1269-1280.23.WeiguLi,J.LlibreandXiangZhang,ExtensionofFloquet'stheorytononlinearperiodicdifferentialsystemsandembeddingdiffeomorphismsindifferentialflows,AmericanJ.Mathematics2002:124(1),107-127.