卫丽君
姓名: 卫丽君
职称: 副教授
邮箱: weilijun39@avzxk.net
个人简介:上海交通大学理学博士,硕士生导师。主要从事常微分方程定性理论及弱化希尔伯特第16问题的研究。在Nonlinearity,J. Differential Equations,J. Dynam. Differential Equations等国内外学术期刊上发表论文十余篇。先后主持国家自然科学基金项目2项、浙江省自然科学基金项目1项,参加国家、浙江省自然科学基金项目多项。指导本科生国家级、省级等科研项目多项。
研究方向:常微分方程与动力系统
教学与课程:
本科生课程:常微分方程、数学分析、高等数学、线性代数
研究生课程:常微分方程几何理论与分支、Maple软件
学术研究:
1:Wei Lijun, Zhang Xiang and Zhu jinbo, Limit Cycles Near a Centre and a Heteroclinic Loop in a Near–Hamiltonian Differential System. J. Dynam. Differential Equations 36(2024)405-420.
2:Wei Lijun, Zhang Qingjing and Zhang Xiang, On limit cycles near two centres and a double homoclinic loop in Liénard differential system. J. Differential Equations 300(2021)226-251.
3:Wei Lijun, Xu Yancong and Zhang Xiang, The number of limit cycles bifurcating from a degenerate center of piecewise smooth differential systems. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 31 (2021), no. 5, Paper No. 2150067, 20 pp.
4:Wei Lijun and Zhang Xiang, Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems, Nonlinearity 33(2020)2723-2754.
5:Wei Lijun and Zhang Xiang, Averaging theory of arbitrary order for piecewise smooth differential systems and its application, Journal of Dynamics and Differential Equations 30(2018)55-78.
6:Wei Lijun, Valery Romanovski and Zhang Xiang, Generalized involutive symmetry and its application in integrability of differential systems, Zeitschrift für angewandte Mathematik und Physik 68(2017)132.
7:Wei Lijun, Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth systems with a cusp, Nonlinear Analysis: Real World Applications 38(2017)306-326.
8:Wei Lijun and Zhang Xiang, Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center, Journal of Differential Equations 261(2016)1399-1428.