任志华  

一、基本情况

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任志华,女,教授,200410月至今在北京工业大学理学部数学学院从事教学科研工作。20037月北京大学数学科学学院博士研究生毕业,获理学博士学位。博士学位论文获得北京大学优秀博士学位论文三等奖。200610月至20071月,美国明尼苏达大学培训与交流。主要研究方向是常微分方程与动力系统、正规形理论及其应用。主要研究结果发表在J. Math. Anal. Appl,C. R. Acad. Sci. Paris,  Ser.I ,BULLETIN DES SCIENCES MATHÉMATIQUESDynamical SystemsInternational Journal of bifurcations and chaos等刊物上。

二、研究方向

常微分方程与动力系统,正规形理论及其应用

三、主持和参加的科研项目

非线性动力系统的最简正规形及其相关问题的研究,国家自然科学基金面上项目,2015.01-2018.12.

 

对若干超椭圆积分的零点个数的估计,国家自然科学基金面上项目,2014.01-2017.12.

 

非线性脉冲耦合神经网络的动力学研究及其在图像处理中的应用,国家自然科学基金面上项目,2011.01-2013.12.

四、代表性论文

Ren,ZhihuaWang,PeirongXu,YanqinWu, Hao; Formal and analytic normal forms for non-autonomous difference systems with uniform dichotomy spectrum. Adv. Difference Equ. 2020, Paper No. 118, 18 pp. 

Guo, Lingling; Ren, Zhihua Polynomial normal forms for some germs of nonstrongly 1-resonant diffeomorphisms.Internat. J. Bifur. Chaos Appl. Sci. Engrg. 25 (2015), no. 13, 1550174, 8 pp.

 Ren, Zhihua; Xia, Li; Yang, Jiazhong On classification of the Poincaré type maps on R3.Bull. Sci. Math. 139 (2015), no. 5, 582–598.

Ren, Zhihua; Yan, Shuo; Yang, Jiazhong Finite determinacy and polynomial normal forms for diffeomorphisms near a strongly 1-resonant fixed point.J. Math. Anal. Appl. 413 (2014), no. 1, 476–481.

 Ren, Zhihua; Peng, Zhaoxia Smooth moduli-free normal forms of hyperbolic germs of diffeomorphisms.Dyn. Syst. 28 (2013), no. 2, 251–262.

 Ren, Zhihua; Yang, Jiazhong; Yu, Fuwang On conjugating equivalence of 0-resonant diffeomorphisms on R3.Internat. J. Bifur. Chaos Appl. Sci. Engrg. 23 (2013), no. 6, 1350100, 6 pp.

Ren, Zhihua; Peng, Zhaoxia On smooth conjugacy of hyperbolic diffeomorphism germs.Bull. Sci. Math. 137 (2013), no. 5, 584–588.

Ren, Zhihua Smooth classification and linearization of hyperbolic vector fields on R 3.Ann. Differential Equations 25 (2009), no. 3, 343–347.

 Li, Chengzhi; Ren, Zhihua; Yang, Jiazhong Moduli-free normal forms and linearization of vector fields.Internat. J. Bifur. Chaos Appl. Sci. Engrg. 16 (2006), no. 12, 3759–3764.

Ren, Zhi Hua Smooth linearizability of some hyperbolic vector fields. (Chinese) Beijing Daxue Xuebao Ziran Kexue Ban 40 (2004), no. 1, 1–4.

 Ren, Zhihua; Yang, Jiazhong On C1 classifications of hyperbolic vector fields.J. Math. Anal. Appl. 284 (2003), no. 1, 118–126.

 Ren, Zhihua; Yang, Jiazhong On the C1 normal forms of hyperbolic vector fields.C. R. Math. Acad. Sci. Paris 336 (2003), no. 9, 709–712.

五、联系方式

地址:北京市朝阳区平乐园100号北京工业大学理学部 100124                     

办公房间号:北京工业大学数理楼502

E-mailzhren@bjut.edu.cn

北京工业大学研究生招生办公室 地址:北京市朝阳区平乐园100号 邮政编码:100124 联系电话:010-67392533