个人简介
一、基本情况
任志华,女,教授,博士生导师。2003年7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。2004年10月至今在北京工业大学应用数理学院从事教学科研工作。2006年10月至2007年1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 MATHÉMATIQUES、Dynamical Systems、International 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、主要科研项目
在研主持国家自然科学基金面上项目1项
在研参加国家自然科学基金面上项目1项
主持完成国家自然科学基金青年项目1项
主持完成北京市自然科学基金面上项目1项
主持完成北京市教育委员会科技计划面上项目1项
近期论文
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1. 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.
2. Ren, Zhihua; Xia, Li; Yang, Jiazhong On classification of the Poincaré type maps on R3. Bull. Sci. Math. 139 (2015), no. 5, 582–598.
3. 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.
4. Ren, Zhihua; Peng, Zhaoxia Smooth moduli-free normal forms of hyperbolic germs of diffeomorphisms. Dyn. Syst. 28 (2013), no. 2, 251–262.
5. 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.
6. Ren, Zhihua; Peng, Zhaoxia On smooth conjugacy of hyperbolic diffeomorphism germs. Bull. Sci. Math. 137 (2013), no. 5, 584–588.
7. Ren, Zhihua Smooth classification and linearization of hyperbolic vector fields on R 3. Ann. Differential Equations 25 (2009), no. 3, 343–347.
8. 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.
9. Ren, Zhi Hua Smooth linearizability of some hyperbolic vector fields. (Chinese) Beijing Daxue Xuebao Ziran Kexue Ban 40 (2004), no. 1, 1–4.
10. Ren, Zhihua; Yang, Jiazhong On C1 classifications of hyperbolic vector fields. J. Math. Anal. Appl. 284 (2003), no. 1, 118–126.
11. 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.