基本情况
任志华,女,教授,2004年10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。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。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。
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.
代表性论文
Ren,Zhihua;Wang,Peirong;Xu,Yanqin;Wu, 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, ZhihuaPolynomial 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, JiazhongOn classification of the Poincaré type maps onR3.Bull. Sci. Math.139(2015),no. 5,582–598.
Ren, Zhihua;Yan, Shuo;Yang, JiazhongFinite 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, ZhaoxiaSmooth moduli-free normal forms of hyperbolic germs of diffeomorphisms.Dyn. Syst.28(2013),no. 2,251–262.
Ren, Zhihua;Yang, Jiazhong;Yu, FuwangOn conjugating equivalence of 0-resonant diffeomorphisms onR3.Internat. J. Bifur. Chaos Appl. Sci. Engrg.23(2013),no. 6,1350100, 6 pp.
Ren, Zhihua;Peng, ZhaoxiaOn smooth conjugacy of hyperbolic diffeomorphism germs.Bull. Sci. Math.137(2013),no. 5,584–588.
Ren, ZhihuaSmooth classification and linearization of hyperbolic vector fields onR 3.Ann. Differential Equations25(2009),no. 3,343–347.
Li, Chengzhi;Ren, Zhihua;Yang, JiazhongModuli-free normal forms and linearization of vector fields.Internat. J. Bifur. Chaos Appl. Sci. Engrg.16(2006),no. 12,3759–3764.
Ren, Zhi HuaSmooth linearizability of some hyperbolic vector fields.(Chinese)Beijing Daxue Xuebao Ziran Kexue Ban40(2004),no. 1,1–4.
Ren, Zhihua;Yang, JiazhongOnC1classifications of hyperbolic vector fields.J. Math. Anal. Appl.284(2003),no. 1,118–126.
Ren, Zhihua;Yang, JiazhongOn theC1normal forms of hyperbolic vector fields.C. R. Math. Acad. Sci. Paris336(2003),no. 9,709–712.