杜正東，男，四川大學數學學院教授。
基本介紹
- 中文名：杜正東
- 國籍：中國
- 性別：男
- 職稱：教授
- 研究方向：微分方程與動力系統
學術成果,科研項目,獲獎情況,
學術成果
代表論文及著作
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).
科研項目
編號 項目名稱
四川大學青年科學研究基金項目“常微分方程分岔理論及平面多項式系統定性理論研究”(2004-2005).
教育部留學回國人員科研啟動基金項目“動力系統分岔理論與不變流形”(2005-2007).
2010 SCU21005 中央高校基本科研業務費：“非光滑動力系統的分岔問題”(2010.9.1 - 2012.12.31).
11371264 國家自然科學基金面上項目：“分段光滑動力系統的周期軌分岔和同宿分岔”(2014. 1. 1 - 2017. 12. 31).
獲獎情況
2003-2008連續六年獲四川大學青年骨幹教師獎（獨立）。
2004-2005連續兩年獲四川大學優秀基礎研究“展虹獎研金”二等獎（獨立）
2008年度四川大學優秀教學成果一等獎（排名第二）
2013年度四川大學優秀課程網站一等獎（排名第二）
2014年度四川大學優秀教師（獨立）
2017年度四川大學·83王偉教育獎勵基金獎教金
2007年度國家級精品課程建設項目《常微分方程》（排名第三）
2013年度國家級精品資源共享課程建設項目《常微分方程》（排名第三）。
