杜正东 - 四川大学

个人简介

科研项目编号项目名称四川大学青年科学研究基金项目“常微分方程分岔理论及平面多项式系统定性理论研究”(2004-2005). 教育部留学回国人员科研启动基金项目“动力系统分岔理论与不变流形”(2005-2007). 2010 SCU21005 中央高校基本科研业务费：“非光滑动力系统的分岔问题”(2010.9.1 - 2012.12.31). 11371264 国家自然科学基金面上项目：“分段光滑动力系统的周期轨分岔和同宿分岔”(2014. 1. 1 - 2017. 12. 31). 学术荣誉 2003-2008连续六年获四川大学青年骨干教师奖（独立）。 2004-2005连续两年获四川大学优秀基础研究“展虹奖研金”二等奖（独立） 2008年度四川大学优秀教学成果一等奖（排名第二） 2013年度四川大学优秀课程网站一等奖（排名第二） 2014年度四川大学优秀教师（独立） 2017年度四川大学•83王伟教育奖励基金奖教金 2007年度国家级精品课程建设项目《常微分方程》（排名第三） 2013年度国家级精品资源共享课程建设项目《常微分方程》（排名第三）。

研究领域

微分方程与动力系统

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

Zhengdong Du and Weinian Zhang, Melnikov method for homoclinic bifurcation in nonlinear impact oscillators, Comput. Math. Appl., 2005, 50: 445-458. Zhengdong Du，Yurong Li and Weinian Zhang，Type I periodic motions for nonlinear impact oscillators, Nonlinear Anal. Ser. A，67 (2007), No. 5, 1344-1358. Yurong Li, Zhengdong Du and Weinian Zhang, Asymmetric type II periodic motions for nonlinear impact oscillators, Nonlinear Anal. Ser. A，68 (2008), No. 9, 2681—2696. Zhengdong Du，Yurong Li and Weinian Zhang, Bifurcation of periodic orbits for a class of planar Filippov systems, Nonlinear Anal. Ser. A，69 (2008), No. 10, 3610--3628. Xingwu Chen and Zhengdong Du, Limit cycles bifurcate from centers of discontinuous quadratic systems, Comput. and Math. Appl., 59 (2010), No. 12, 3836--3848. Jun Shen and Zhengdong Du, Double impact periodic orbits for an inverted pendulum, International Journal of Non-linear Mechanics, 46 (2011), No. 9, 1177--1190. Zhengdong Du and Yurong Li, Bifurcation of periodic orbits with multiple crossings in a class of planar Filippov systems, Mathematical and Computer Modelling, 55 (2012), No. 3-4, 1072--1082. Zhengdong Du, Yurong Li, Weinian Zhang and Jun Shen, Impact oscillators with homoclinic orbit tangent to the wall, Physica D: Nonlinear Phenomena, 245 (2013), No. 1, 19--33. Nan Hu and Zhengdong Du, Bifurcation of periodic orbits emanated from a vertex in discontinuous planar systems, Communications in Nonlinear Science and Numerical Simulation, 18 (2013), No. 12, 3436--3448. Jun Shen，Yurong Li and Zhengdong Du, Subharmonic and grazing bifurcations for a simple bilinear oscillator, International Journal of Non-linear Mechanics, 60 (2014), 70--82. Tingting Yi and Zhengdong Du, Degenerate grazing bifurcations in a simple bilinear oscillator, International Journal of Bifurcation and Chaos, 24 (2014), No. 11, 1450141,16 pages. Junming Gao and Zhengdong Du, Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum, Nonlinear Dynamics, 79 (2015), 1061--1074. Shuang Chen and Zhengdong Du, Stability and perturbations of homoclinic loops in a class of piecewise smooth systems, International Journal of Bifurcation and Chaos, 25 (2015), No. 9, 1550114 (16 pages). Zhengdong Du, Weinian Zhang and Shengfu Deng, Approximation of invariant manifolds under pseudo-hyperbolicity, The IMA J. of Applied Mathematics, 81 (2016), No. 1, 132--151. Zhengdong Du, Period-adding and the Farey tree structure in a class of one-dimensional discontinuous nonlinear maps, Nonlinear Dynamics, 84 (2016), No. 4, 2211--2226. Jun Shen and Zhengdong Du, Heteroclinic bifurcation in a class of planar Filippov systems with multiple zones, Zeitschrift fuer Angewandte Mathematik und Physik, 67 (2016), No. 3, 67:42. Zhengdong Du, Periodic orbits in two classes of piecewise smooth maps with positive nonlinear parts, Journal of Applied Analysis and Computation, 7 (2017), No. 1, 189--206. Yurong Li and Zhengdong Du, Computation of the anharmonic orbits in two piecewise monotonic maps with a single discontinuity, Zeitschrift fuer Angewandte Mathematik und Physik, 68 (2017), No. 1, 68:12. Yurong Li, Liping Yuan and Zhengdong Du, Bifurcation of nonhyperbolic limit cycles in piecewise smooth planar systems with finitely many zones, International Journal of Bifurcation and Chaos, 27 (2017), No. 10, 1750162 (14 pages).