程旭华博士，副教授 |
程旭华，女，汉族，1978年7月，博士，副教授。
【研究领域】 常微分方程与动力系统、牛顿N体问题
【主讲课程】 本科生课程：复变函数、高等数学、线性代数、概率论与数理统计、数学思维与方法 研究生课程：常微分方程定性与稳定性理论、
【研究生招生学科方向】 硕士：应用数学
【科研项目】 [1] 国家自然科学基金青年项目(No.11601257), 关于椭圆Sitnikov问题中周期运动的稳定性研究，2017，主持 [2]河北省自然科学基金面上项目(No. A2019202342), 关于平面限制性N体问题的混沌动力学研究,2019-2021，主持 [3] 河北省自然科学基金面上项目(No. A2023202041), 广义Sitnikov(N+1) 体问题的周期解稳定性研究，2023-2025，主持
【代表性论文】 [1] Cheng Xuhua* and Li Mengqian, Study on chaotic behavior of the (N+1)-body ring problem, Acta Mathematica Sinica, English Series, 2026, 42, 189-200. [2] Cheng Xuhua*, Wang Feng and Liang Zaitao, On the stability of symmetric periodic orbits of the generalized elliptic Sitnikov(N+1)-body problem, Journal of Differential Equations, 2023, 345, 208-232. [3]程旭华*、王涌泉, 广义椭圆型Sitnikov(N+1)体问题的混沌动力学研究, 数学学报 (中文版), 2023, 66(1), 1-14. [4] Cheng Xuhua* and Liu Baoting, The existence of odd families of symmetric periodic solutions of the generalized elliptic Sitnikov(N+1) -body problem, symmetry, 2023, 15, 1113, 15pp [5] Li Haiyin and Cheng Xuhua*, Dynamics of Stage-Structured Predator–Prey Model with Beddington–DeAngelis Functional Response and Harvesting, mathematics, 2021, 9, 2169. [6] Cen Xiuli, Cheng Xuhua, Huang Zaitang and Zhang Meirong, On the stability of symmetric periodic orbits of the elliptic Sitnikov problem, SIAM J. Applied dynamical systems, 2020, 19, 1271-1290. [7] Zhang Meirong, Cen Xiuli, and Cheng Xuhua, Linearized stability and instability of nonconstant periodic solutions of Lagrangian equations, Mathematical Methods in the Applied Sciences, 2018, 42, 4853–4866. [8] Cheng Xuhua and She Zhikun, Chaotic dynamics of the restricted four-body pproblem with an equilateral triangle configuration, International Journal of Bifurcation and Chaos，2017，27(2), 1750026, 12pp. [9] Cheng Xuhua* and She Zhikun, A note on the existence of a Smale horseshoe in the planar circular restricted three-body problem, Abstract and applied Analysis, 2015, 1278-1285. [10] She Zhikun and Cheng Xuhua*, The existence of a Smale horseshoe in a planar circular restricted four-body problem. Celestial Mechanics and Dynamical Astronomy, 2014, 118(2), 115-127. [11] She Zhikun, Cheng Xuhua* and Li Cuiping, The existence of transversal homoclinic orbits in a planar circular restricted four-body problem, Celestial Mechanics and Dynamical Astronomy, 2013, 115(3), 299-309. [12] Jin Zhou, Xuhua Cheng, Lan Xiang and Yecui Zhang. Impulsive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators, Chaos, Solitons and Fractals, 2007, 33, 607–616 [13] Xuhua Cheng, Gang Zhang, Yecui Zhang, Yanhui Gao, Lan Xiang, Jin Zhou. Impulsive Synchronization of Generalized Van der Pol Oscillators, Dynamics of Continuous, Discrete and Impulsive System: Series A, Mathematical analysis, 2006,13增刊:S页: 30-34,子辑:1,2006.
【联系方式】 邮箱：2017081@hebut.edu.cn |
