姓名 | 李时敏 | 职称 | 副教授 |
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学位 | 博士 | 电子邮箱 | lism1983@126.com | |
研究方向 | 微分方程理论及其应用 | |||
个人主页或 个人微信公众号 |
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主讲课程 | 高等代数，数学分析选讲，计算方法，数学物理方程，复变函数 | |||
教研成果 | 无 | |||
科研成果 | 1.主持国家自然科学基金青年科学基金项目“分段光滑微分系统的极限环分支问题”，经费22万，2015.1-2017.12，结题 2.主持广东省自然科学基金自由申请项目“分段光滑奇异摄动系统的动力学行为及分支问题”，经费10万, 2017,5-2020,5. 在研 3.主持广州市科技计划项目“分段个光滑微分系统的高阶平均法及其极限环分支问题”,经费20万, 2017,1-2019,12. 在研 | |||
学术论文 | 1. Shimin Li, Yulin Zhao and Jun Li, On the number of limit cycles of perturbed cubic polynomial differential center, Journal of Mathematical Analysis and Application, 404(2013), 212-220. 2. Jun Li, Yulin Zhao and Shimin Li, Fast and slow dynamics of Malaria model with relapse, Mathematics Biosciences, 246(2013), 94-104. 3. Shimin Li and Yulin Zhao, Limit cycles of perturbed cubic isochronous center via the second order averaging method, International Journal of Bifurcation and Chaos, 24(2014), 8 pages. 4. 李时敏, 赵育林, 岑秀丽, 一类不连续平面二次微分系统的极限环, 中国科学:数学, 45(2015), 43-52. 5. Shimin Li, Yulin Zhao and Zhaohong Sun, On the limit cycles of planar polynomial system with non-rational first integral via averaging method at any order, Applied Mathematics and Computation, 256(2015), 876-880. 6. Shimin Li and Changjian Liu, A linear estimate of the number of limit cycles for some planar piecewise smooth quadratic differential system, Journal of Mathematical Analysis and Applications, 428(2015), 1354-1367. 7. Shimin Li and Tiren Huang, Limit cycles for piecewise smooth perturbations of a cubic polynomial differential center, Electronic Journal of Differential Equations, 108(2015), 17 pages. 8. 李时敏, 一类不连续广义Lienard微分系统的极限环分支, 中山大学学报(自然科学版), 54(2015), 15-18. 9. Shimin Li and Kuilin Wu, On the limit cycles bifurcating from piecewise quasi-homogeneous differential center, International Journal of Bifurcation and Chaos, 26(2016), 10 pages. 10. 李时敏，岑秀丽，一类二次等时系统在不连续二次多项式扰动下的极限环分支, 数学物理学报, 36(2016), 919-927. 11. Kuilin Wu and Shimin Li, Limit cycles for perturbing Hamiltonian system inside piecewise smooth polynomial differential system, Advances in Difference Equations , (2016)2016, 8 pages. 12. Shimin Li and Yulin Zhao, Quasi normal sectors and orbits in regular critical directions of planar system, Chinese Annals of Mathematics, Series B. 38(2017), 1179-1196. 13. Shimin Li, Xiuli Cen and Yulin Zhao, Bifurcation of limit cycles by perturbing piecewise smooth integrable non-Hamiltonian systems, Nonlinear Analysis, Real World Applications, 34(2017), 140-148. 14. Xiuli Cen, Shimin Li and Yulin Zhao, On the number of limit cycles for a class of discontinuous quadratic differential systems, Journal of Mathematical Analysis and Applications, 449 (2017), 314-342. 15. Yanqin Xiong, Jianqiang Hu, Shimin Li and Jingzheng Li, Center problem for quasi-homogeneous polynomial systems with a given weight degree, International Journal of Bifurcation and Chaos, 28(2018), 10pages. 16. Shimin Li and Jaume Llibre, Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line, Journal of Differential Equations, 266(2019), 8094-8109. 17. Shimin Li and Jaume Llibre, On the limit cycles of planar discontinuous piecewise linear differential systems with a unique equilibrium, Discrete and Continuous Dynamical Systems B, 24(2019), 5885-5901. 18. Shimin Li and Jaume Llibre, Phase portraits of piecewise linear continuous Lienard differential systems with three zones, Chaos, Solitons and Fractals, 120(2019), 149-157. 19. 李时敏，Jaume Llibre, 一类pitchfor分支的全局相图, 中国科学：数学，49(2019), 1201-1208. 20. Feng Li and Shimin Li, Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point, Nonlinear Dynamics, 96(2019),553-563. 21. Tao Liu, Feng Li, Yirong Liu, Shimin Li and Jing Wang, Bifurcation of limit cycles and center problem for p:q homogeneous weight systems, Nonlinear Analysis: Real World Applications, 46(2019), 257-273. | |||
专著 教材 | 无 | |||
学术兼职 | 无 | |||
个人荣誉 | 22. 2015年10月被聘为广东财经大学杰出青年教师校长特聘教授。 23. 2014-2015年度,2016-2017年度,广东财经大学考核优秀。 24. 2015-2016年度，2016-2017年度，广东财经大学“教学质量优秀奖”。 25. 指导学生获得第十四届“挑战杯”广东大学生课外学术科技作品竞赛特等奖。 | |||
