微分方程与动力系统：有限维和无穷维系统的 KAM 理论及其应用；系统的长时间稳定性。
1.微分方程与动力系统
(1) Invariant Tori for Area-Preserving Maps with Ultra-differentiable Perturbation and Liouvillean Frequency.QUALITATIVE THEORY OF DYNAMICAL SYSTEMS.2024,23 (SUPPL 1)
(2) INVARIANT TORI FOR THE DERIVATIVE NONLINEAR SCHRODINGER EQUATION WITH NONLINEAR TERM DEPENDING ON SPATIAL VARIABLE.Discrete and Continuous Dynamical Systems.2022,42 (9):4555-4595
(3) 王世民.Response solution to complex Ginzburg-Landau equation with quasi-periodic forcing of Liouvillean frequency.Boundary Value Problems.2020,2020 (1)
(4) RESPONSE SOLUTIONS TO HARMONIC OSCILLATORS BEYOND MULTI-DIMENSIONAL BRJUNO FREQUENCY.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS.2021,20 (2):467
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1. 代数和几何基础
2. 高等数学(2)
3. 解析几何
4. 解析几何
5. 线性代数
1.张志豪
2.李俊钢
