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姓名: 黄健沨

部门: 信息科学技术学院

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职称: 教授

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联系电话: 85220454

电子邮箱: thuangjf@jnu.edu.cn

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个人简介

暨南大学数学系教授,博士导师,主要从事微分方程定性理论及应用的研究。在《Nonlinearity》、《SIAM Journal on Applied Dynamical Systems》、《Journal of Differential Equations》、《Discrete and Continuous Dynamical Systems - Series A》等国际主流SCI期刊上发表论文二十余篇。主持并完成国家自然科学青年基金、中国博士后科学基金面上一等资助;主持在研国家自然科学基金面上项目1项,广东省自然科学基金面上项目1项等。获2019年广东省自然科学技术奖二等奖(第三排名)。

学习经历

2008-2011   中山大学  应用数学(硕博连读)  理学博士

工作经历

2024.10-至今            暨南大学         数学系           教授

2015.12-2024.09      暨南大学         数学系          副教授

2013.08-2015.11      暨南大学         数学系           讲师

2011.08-2013.07      复旦大学    数学科学学院    博士后 

2016.09  - 2017.09     巴塞罗那自治大学数学系学术访问(CSC资助)


研究方向

微分方程定性理论及应用

主要论文

1.     Jianfeng Huang, Renhao Tian^*, Yulin Zhao, A Chebyshev criterion for at most two non-zero limit cycles in Abel equations, Nonlinearity, 39(2026), 015030.

2.     Jianfeng Huang^*, Yunyan Liu, Jinfeng Li, On the Study of the Chebyshev Property for the Families of Trigonometric Quasi-Polynomials via Generalized Derivation-Division Algorithm, Qualitative Theory and Dynamical Systems, 24(2025), No.105.

3.     Xiangqin Yu, Jianfeng Huang^*, Changjian Liu, Maximum number of limit cycles for Abel equation having coefficients with linear trigonometric functions, Journal of Differential Equations, 410(2024), 301-318.

4.     Jianfeng Huang^*, Jinfeng Li, Estimates for the number of limit cycles of the planar polynomial differential systems with homogeneous nonlinearities, Journal of Differential Equations, 401(2024), 148-182.

5.     Jianfeng Huang, Haihua Liang^*, Xiang Zhang, A new Chebyshev criterion and its application to planar differential systems, Journal of Differential Equations, 344(2023), 658-695.

6.     Jianfeng Huang^*, Jie Li, On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones, Nonlinear Analysis: Real World Applications, 66(2022), No.103551.

7.     Haihua Liang, Jianfeng Huang^*, Yulin Zhao, Existence of periodic orbits for planar differential systems with delay angle, Applied Mathematics Letters, 133(2022), No.108276.

8.     Jianfeng Huang^*, Haihua Liang, Limit cycles of planar system defined by the sum of two quasi-homogeneous vector fields, Discrete and Continuous Dynamical System B, 26(2021),891-873.

9.     Jianfeng Huang, Joan Torregrosa^*, Jordi Villadelprat, On the number of limit cycles in generalized Abel equations, SIAM Journal on Applied Dynamical Systems, 19(2020), 2343-2370.

10.   Jianfeng Huang^*, Haihua Liang, A geometric criterion for generalized Abel equation having at most m isolated periodic solutions, Journal of Differential Equations, 268(2020), 6230-6250.

11.   Jianfeng Huang^*, Zhixiang Peng, Bifurcation of a kind of piecewise smooth generalized Abel equation via first and second order analyses, International Journal of Bifurcation and Chaos, 2020, 30(16):2050247.

12.   Yuye Jin, Jifanfeng Huang^*, On the study and application of limit cycles of a kind of piecewise smooth equation, Qualitative Theory and Dynamical Systems, 2020, 19(1): No.15.

13.   Jianfeng Huang^*, Yuye Jin, Bifurcation of a kind of 1D Piecewise differential equation and its application to piecewise planar polynolnia1 systems, International Journal of Bifurcation and Chaos, 2019, 29(05):1950072.

14.   Jianfeng Huang, Haihua Liang, Jaume Llibre^*, Non-existence and uniqueness of limit cycles for planar system with homogeneous nonlinearities, Journal of Differential Equations, 265(2018), 3888-3913.

15.   Jianfeng Huang, Haihua Liang^*, An uniqueness criterion of limit cycles for the polynomial systems with homogeneous nonlinearities, Journal of Mathematical Analysis and Applications, 457(2018), 498-521.

16.   Jianfeng Huang^*, Haihua Liang, Estimate for the number of limit cycles of Abel equation via a geometric criterion on three curves, Nonlinear Differential Equations and Applications, 24(2017), DOI:10.1007/s00030-017-0469-3.

17.   Haihua Liang^*, Jianfeng Huang, Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems, Nonlinear Dynamics201478(3)16591681.

18.   Haihua Liang^*, Jianfeng Huang, Cyclicity of period annulus of a quadratic reversible system with degenerate critical pointInternational Journal of Bifurcation and Chaos, 201323(6), 1350106(DOI:10.1142/S021812741350106x).

19.   Jianfeng Huang^*, Yulin Zhao, Periodic solutions for equation x=A(t)x^m+B(t)x^n+C(t)x^l with A(t) and B(t) changing signs, Journal of Differential Equations, 2012253(1), 73-99.

20.   Jianfeng Huang^*, Yulin Zhao, Bifurcation of isolated closed orbits from degenerated singularity in R^3, Discrete and Continuous Dynamical System A201333(7)2861-2883.

21.   Jianfeng Huang^*, Yulin Zhao, The projective vector field of a kind of three-dimensioanl quasi-homogeneous system on S^2Nonlinear Analysis: Theory, Methods & Applications2011,74(12), 4088-4104.

22.   Jianfeng Huang^*, Yulin Zhao, Extended quasi-homogeneous polynomial system in R^3Nonlinear Differential Equations and Applications201320(6), 1771-1794.

23.   Jianfeng Huang^*, Yulin Zhao, The limit set of trajectory in quasi-homogeneous system in R^3, Applicable Analysis201291(7), 1279-1297.

24.   Jianfeng Huang, Yongjin Li^*, The Hahn-Banach theorem on arbitrary groups. Kyungpook Math. J., 49(2009), no. 2, 245-254.


主要著作

承担课题

主持项目:

1. 国家自然科学基金面上项目:几类柱面系统的几何性质与极限环问题研究,2023-2026,(No.12271212).

2. 广东省自然科学基金面上项目:Abel方程的周期解及其在平面微分系统的应用,2021-2023,(No.2021A1515010029).

3. 国家自然科学基金青年项目:系数变号的广义Abel方程的几何性质与周期解问题,2015-2017,(No.11401255).

4. 第53批中博士后科学基金面上资助,三维微分系统Hopf分支及相关问题,(NO.2013M530174.

5. 暨南大学科研培育与创新基金,三维微分系统奇点分支及Abel方程,2014 - 2015.


发明专利

讲授课程

高等数学,微积分,线性代数,概率与数理统计等.

荣誉奖励

社会职务