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专家信息 科学研究 论文专著 荣誉奖励

专家信息:


李文侠,男,1963年3月生。现任华东师范大学数学系教授、博士生导师。

教育及工作经历:

1993年7月获理学博士学位。

1995年7月至1996年6月赴美国University of Californian at Berkeley 及Georgia Institute of Technology 作学术访问。

1998年10月至1999年10月在荷兰Delft理工大学数学系做博士后研究。

2000年6月至2000年12月在荷兰Delft理工大学数学系作学术访问。

社会兼职:

1.陀区致公党华东师大直属支部主委。

2.华东师大特邀监察员(2006.12--2009.12)。

3.普陀区政协委员‚美国《数学评论》评论员。

科学研究:


研究方向:

分形几何及其应用;DNA计算的数学理论。

承担科研项目情况:

1.“非线性动力系统的全局理论及其应用”。

2.“非线性系统动力学研究”。

3.国家自然科学基金项目:“分形与小波及其应用”(10571058,2006.1---2008.12)。

科研成果:

资料更新中……

论文专著:


发表论文:

1 The dimensions of self-similar sets (with D. Xiao)‚ J. Math. Soc. Japan‚ 50(1998)‚ 789--799.

2 Limit cycles for competitive three dimensional Lotka - Volterra system (with D. Xiao)‚ J. Differential Equations‚ 164(2000)‚ 1--15.

3 The dimension of subsets of Moran sets determined by the success run behaviour of their codings (with F.M. Dekking)‚ Monatshefte fur Mathematik‚ 131(2000)‚ 309--320.

4 Non- differentiability of devil´s staircases and dimensions of subsets of Moran sets (with D.Xiao and F.M. Dekking)‚ Mathematical Proceedings of the Cambridge Philosophical Society‚ 133(2002)‚ No.2‚ 345--355.

5 Hausdorff dimension of subsets of Moran fractals with prescribed group frequency of their codings (with F.M. Dekking)‚ Nonlinearity‚ 16(2003)‚ 187--200.

6 Stability and Bifurcation in a delayed Ratio-dependent Predator-Prey System (with D.Xiao )‚ Proceedings of the Edinburgh Mathematical Society‚ 46(2003)‚ 205--220.

7 How smooth is a devil´s staircase? (with F. Michel Dekking)‚ Fractals‚ 11(2003)‚ 101--107

8 The dimension of sets determined by their code behaviour‚ Fractals‚ 11(2003)‚ 345--352.

9 Solving Maximum cut problem in the Adleman-Lipton model(with D. Xiao‚ Z. Zhang‚ L. He)‚ BioSystems‚82(2005)‚ 203-- 207.

10 Procedure for a dynamical system on $\{0‚ 1\}^n$ with DNA molecules(with D. Xiao‚ J. Yu‚ X. Zhang‚ Z. Zhang‚ L. He). BioSystems‚ 84 (2006)‚ 207--216.

11 Dynamics in a Ratio-dependent Predator-Prey Model with predator Harvesting(with D. Xiao‚ M. Han). JMAA‚ 324(2006)‚ 14 --29.

12 Orbit trap rendering method for generating artistic images with cyclic or dihedral symmetry(with Y. Zuo‚ J. Lu‚ R. Ye). Computers & graphics‚ 30(2006)‚ 471--474.

13 DNA ternary addition(with D. Xiao‚ L. He). Applied Mathematics and Computation‚ 182(2006)‚ 977--986.

14 A DNA procedure for solving the shortest path problem(with C. Wang‚ D. Xiao‚ L. He). Applied Mathematics and Computation‚ 183(2006)‚ 79-- 84.

15 Non-differentiability points of Cantor functions. Mathematische Nachrichten‚ 280(2007)‚ 140--151.

16 Hausdorff dimension of fiber- coding sub-Sierpinski carpets(with Y.X. Gui). JMAA‚ 331(2007)‚ 62--68.

17 Points of infinite derivative of Cantor functions. Real Anal. Exchange‚ 32 (2006/07)‚ no.1‚ 87--96.

18 Hausdorff dimension of subsets with proportional fibre frequencies of the general Sierpinski carpet (with Y.X. Gui). Nonlinearity‚ 20(2007)‚ 2353--2364.

19 A class of Sierpinski carpets with overlaps (with Y.R. Zou‚ Y.Y. Yao). J. Math. Anal. Appl.‚ 340(2008)‚ 1422--1432.

20 A random version of McMullen-Bedford general Sierpinski carpets and its application (with Y.X. Gui). Nonlinearity 21 (2008) 1745-1758.

21 Dimensions of measure supported on generalized MW construction (with Feng Su)‚ Lecture Notes in Pure and Applied Mathematics 176‚ Dekker‚ New Jork. 163--167.

22 Multifractal decompositions of MW-like fractals‚ DYNAMICAL SYSTEM AND CHAOS‚ vol.1‚ Tokyo‚ Japan‚ June 1994‚ 159--162. World Sci. Publishing‚ River Edge‚ NJ.

23 On the intersection of translation of middle-$\alpha $ Cantor sets (with D. Xiao)‚ FRACTALS AND BEYOND--Complexities in the Sciences‚ Malta‚ October 1998‚ 137--148. World Scientific‚ Singapore.

24 The pointwise densities of non-symmetric Cantor sets (with Yuanyuan Yao). International Journal of Mathematics‚ 19(2008)‚ 1121-- 1135.

25 An equivalent definition of packing dimension for subsets of Moran fractals and its application‚ Nonlinear Analysis: Real World Applications‚ 10(2009)‚ 1618--1626.

26 A generalized Multifractal spectrum of the general Sierpinski carpets (with Y.X. Gui)‚ JMAA‚ 348 (2008)‚ 180--192.

27 Self-similar structure on intersection of homogeneous symmetric Cantor sets (with Yunxiu Zhang‚ Yuanyuan Yao)‚ to appear in Mathematische Nachrichten.

28 Hausdorff and packing dimensions of subsets of Moran fractals with prescribed mixed group frequency of their codings(with L. Olsen‚ Z.Y. Wen)‚ Aequationes Mathematicae‚ 77(2009)‚ 171--185.

29 Hausdorff dimension of a class of subsets of the general Sierpinski carpet (with with Y.X. Gui)‚ to appear in Acta Scientiarum Mathematicarum

30 Subsets of the general Sierpinski carpet with mixed group frequencies (with Y.X. Gui)‚ to appear in International Journal of Mathematics

31 Dimensions of subsets of Moran fractals related to frequencies of their codings (with Y.Y. Yao). Nonlinear Analysis: Real World Applications‚ 10(2009)‚ 3240--3252.

32 Self-similar structure on the intersection of middle-$1-2\beta$ Cantor sets with $\beta\in(\frac{1}{3}‚\frac{1}{2})$‚ Nonlinearity 21 (2008) 2899-2910. (with J. Lu and YR. Zou).

33 Dimensions of Non-differentiability points of Cantor functions (with Yuanyuan Yao‚ Yunxiu Zhang)‚ to appear in Studia Mathematica.

34 自仿Sierpinski地毯中集合的维数 张俊雅; 孔德荣; 李文侠 数学年刊A辑(中文版) 2010-04-15

35 Chair Tilings非周期艺术图案的生成 邹玉茹; 李文侠; 鲁坚 计算机辅助设计与图形学学报 2006- 04-30

36 正四面体生成的Sierpinski海绵的Hausdorff测度 陈映洲; 桂咏新; 李文侠 华东师范大学学报(自然科学版) 2008-01-15

荣誉奖励:


1.获2002年教育部科学技术奖一等奖。

2.获2006年上海市自然科学奖二等奖。

资料更新中……

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