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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: 副教授

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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

暨南大学数学系副教授,博士导师,主要从事微分方程定性理论及应用的研究。在《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

2015.12-至今            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

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

Jianfeng HuangJinfeng 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.
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.

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.

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

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

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.

  1. Jianfeng Huang, Haihua Liang, A geometric criterion for generalized Abel equation having at most m isolated periodic solutions, Journal of Differential Equations268(2020), 6230-6250.

  2. 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.

    1. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. Haihua Liang, Jianfeng Huang, Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems, Nonlinear Dynamics,2014,78(3),1659-1681.

  8. Haihua Liang, Jianfeng Huang, Cyclicity of period annulus of a quadratic reversible system with degenerate critical pointInternational Journal of Bifurcation and Chaos, 2013,23(6), 1350106(DOI:10.1142/S021812741350106x).

  9. 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, 2012,253(1), 73-99.

  10. Jianfeng Huang, Yulin Zhao, Bifurcation of isolated closed orbits from degenerated singularity in R^3, Discrete and Continuous Dynamical System –A,2013,33(7),2861-2883.

  11. Jianfeng Huang, Yulin Zhao, The projective vector field of a kind of three-dimensioanl quasi-homogeneous system on S^2, Nonlinear Analysis: Theory, Methods & Applications,2011,74(12), 4088-4104.

  12. Jianfeng Huang, Yulin Zhao, Extended quasi-homogeneous polynomial system in R^3,Nonlinear Differential Equations and Applications,2013,20(6), 1771-1794.

  13. Jianfeng Huang, Yulin Zhao, The limit set of trajectory in quasi-homogeneous system in R^3, Applicable Analysis,2012,91(7), 1279-1297.

  14. 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

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