个人资料
教育经历工作经历个人简介社会兼职
普陀区致公党华东师大直属支部主委‚华东师大特邀监察员(2006.12--2009.12)‚普陀区政协委员‚美国《数学评论》评论员。
研究方向
分形几何及其应用‚DNA计算
招生与培养开授课程科研项目学术成果
(1)“非线性动力系统的全局理论及其应用”:获2002年教育部科学技术奖一等奖(自然科学类)―――参加者(项目负责人为上海交通大学数学系 (2)“非线性系统动力学研究”:获2006年上海市自然科学奖二等奖―――参加者(项目负责人为上海师范大学数学系 [2] Limit cycles for competitive three dimensional Lotka - Volterra system (with D. Xiao)‚ J. Differential Equations‚ 164(2000)‚ 1--15. [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. [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.
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