| 报告题目： | Recent results on embedding diffeomorphisms in flows |
| 报 告 人： | 张祥 教授 |
| 上海交通大学数学系 | |
| 报告时间： | 10月14日下午两点 |
| 报告地点： | 数学系第一报告厅 |
| 相关介绍： | 张祥教授相关介绍：上海交通大学数学系教授，博士生导师，1984.09―1988.06, 安徽师范大学数学系本科生， 1988.09―1991.06, 安徽师范大学数学系硕士生， 1994.09―1997.06, 南京大学数学系博士生，1999.03―2001.03, 西班牙巴塞罗那数学研究中心博士后。 二、自2006年至今的科研工作情况 i) 发表论文清单 近四年的主要代表作(14篇) 1 Zhang, Xiang Global structure of quaternion polynomial differential equations. Comm. Math. Phys. 303 (2011), no. 2, 301�316 2 Zhang, Xiang The 16th Hilbert problem on algebraic limit cycles. J. Differential Equations 251 (2011), no. 7, 1779�1799. 3 Zhang, Xiang The embedding flows of $C^\infty$C∞ hyperbolic diffeomorphisms. J. Differential Equations 250 (2011), no. 5, 2283�2298 4 Wang Cong; Llibre Jaume; Zhang, Xiang Generalized rational first integrals of analytic differential systems. J. Differential Equations 251 (2011), no. 10, 2770�2788. 5 Liu, Fei; Llibre, Jaume; Zhang, Xiang Heteroclinic orbits for a class of Hamiltonian systems on Riemannian manifolds. Discrete Contin. Dyn. Syst. 29 (2011), no. 3, 1097�1111 6 Zhang, Xiang Embedding smooth diffeomorphisms in flows. J. Differential Equations 248 (2010), no. 7, 1603�1616. 7 Zhang, Xiang Embedding diffeomorphisms in flows in Banach spaces. Ergodic Theory Dynam. Systems 29 (2009), no.4,1349�1367. 8 Llibre, Jaume; Zhang, Xiang Hopf bifurcation in higher dimensional differential systems via the averaging method. Pacific J. Math. 240 (2009), no. 2, 321�341. 9 Llibre, Jaume; Zhang, Xiang Darboux theory of integrability in $\Bbb C^n$Cn taking into account the multiplicity. J. Differential Equations 246 (2009), no. 2, 541�551. 10 Chen, Jian; Yi, Yingfei; Zhang, Xiang First integrals and normal forms for germs of analytic vector fields. J. Differential Equations 245 (2008), no. 5, 1167�1184. 11 Liu, Fei; Chen, Cheng; Zhang, Xiang Integrable Hamiltonian systems with positive topological entropy. Bull. Sci. Math. 133 (2009), no. 8, 837�847. 12 Zhang, Xiang Analytic normalization of analytic integrable systems and the embedding flows. J. Differential Equations 244 (2008), no. 5, 1080�1092. 13 Llibre, Jaume; Zhang, Xiang On the algebraic limit cycles of Liénard systems. Nonlinearity 21 (2008), no. 9, 2011�2022. 14 Chen, Cheng; Cao, Jinlong; Zhang, Xiang The topological structure of the Rabinovich system having an invariant algebraic surface. Nonlinearity 21 (2008), no. 2, 211�220. ii) 主持基金情况（近五年） 人才基金： 1 教育部新世纪优秀人才支持计划, 2006--2008 中华人民共和国教育部(050391) 2 上海市浦江计划, 2009--2011 上海市科学技术委员会(09PJD013) 国家自然科学基金： 1 常微分方程与动力系统的分支理论和应用, 2009―2012 国家自然科学基金重点项目(10831003) 主要成员、子项目负责人 2 有限维动力系统可积的代数、几何与拓扑性质, 2007―2009 国家自然科学基金面上项目(10671123) 主持人 iii）学术交流情况 1)参加会议情况（注明是否邀请报告和报告时间） 参加在境外举行的国际会议 1．“Advances in Qualitative Theory of Differential Equations” September 12-16, 2011，in Castro Urdiales, Spain. Talk title: Generalized rational first integrals of analytic differential systems （大会特邀报告-Plenary talk） 2．“Mini-Workshop: Algebraic and Analytic Techniques for Polynomial Vector Fields” December 12-18, in The Mathematisches Forschungsinstitut Oberwolfach, Germany Talk title: Darboux Theory of Integrability （会议1小时特邀报告+30分钟讨论） 3．“Classical Problems on Planar Polynomial Vector Field” November 23―28，2008， in Banff, Canada Talk title: Darboux Theory of Integrability for Polynomial Differential Systems （会议1小时特邀报告） 4. “Conference on Boundary Value Problems, Mathematical Models in Engineering, Biology and Medicine. September 16-19, 2008, in Santiago de Compostela, Spain Talk title: Analytic Normalization of Analytic Integrable Systems （会议邀请报告） ii)出访情况 1． August 28―September 11, 2011， LMA/CNRS，Marseille，France，合作研究和讲学 2． October 1，2007―September 30, 2008, CRM，Barcelona，Spain， 访问教授（合作研究） 3． September 12-16, 2011，in Castro Urdiales, Spain. 出席Advances in Qualitative Theory of Differential Equations国际会议 4． December 12--18, MFO, Germany 出席Algebraic and Analytic Techniques for Polynomial Vector Fields国际会议 5． November 23―28，2008， Banff, Canada 出席Classical Problems on Planar Polynomial Vector Field国际会议 6. September 16-19, 2008, Santiago de Compostela, Spain 出席Conference on Boundary Value Problems, Mathematical Models in Engineering, Biology and Medicine国际会议 三、其他（包括学术兼职、期刊编委、杂志审稿等情况） 期刊编委： 1. <理论数学>杂志编委 http://www.hanspub.org/journal/pm/ 2．<Annual Review of Chaos Theory, Bifurcations and Dynamical systems> 杂志编委 http://www.univ-tebessa.dz/ARCTBDS/ 杂志审稿：参与审稿的国内外期刊有 Journal of Differential Equations Journal of Mathematical Physics Nonlinearity Proceedings of the American Mathematical Society Journal of Dynamics and Differential Equations Discrete and Continuous Dynamical Systems－Series A SIAM Journal on Imaging Sciences International Journal of Bifurcation and Chaos Qualitative Theory of Dynamical Systems Rocky Mountain Journal of Mathematics Journal of Mathematical Analysis and Applications Czechoslovak Mathematical Journal Advance in Difference Equations The Canadian Applied Mathematics Quarterly 中国科学A、中国科学B、中国科学D、中国科学G、数学学报、数学年刊、数学进展和物理学报等等杂志。 欢迎参加！！ |
