弱有界扰动下的KAM理论及其应用研究
11901291
2019
A0303.动力系统与遍历论
娄兆伟
青年科学基金项目
讲师
南京航空航天大学
25万元
反转系统;拟周期解;KAM 理论;哈密顿系统;刘维尔频率
2020-01-01到2022-12-31
- 中英文摘要
- 结题摘要
- 结题报告
- 项目成果
- 项目参与人
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| 序号 | 标题 | 类型 | 作者 |
|---|---|---|---|
| 1 | Invariant tori for the derivative nonlinear Schrödinger equation with nonlinear term depending on spatial variable | 期刊论文 | Zhaowei Lou;Jianguo Si;Shimin Wang |
| 2 | Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies | 期刊论文 | Zhaowei Lou;Ningning Chang |
| 3 | A KAM theorem for higher dimensional reversible nonlinear Schrodinger equations | 期刊论文 | Zhaowei Lou;Yingnan Sun |
| 4 | KAM Tori for the System of Coupled Quantum Harmonic Oscillators with Reversible Perturbations | 期刊论文 | Zhaowei Lou;Jian Wu |
| 5 | KAM theory for the reversible perturbations of 2D linear beam equations | 期刊论文 | Chuanfang Ge;Jiansheng Geng;Zhaowei Lou |
| 6 | Bounded Non-response Solutions with Liouvillean Forced Frequencies for Nonlinear Wave Equations | 期刊论文 | Ningning Chang;Jiansheng Geng;Zhaowei Lou |
| 7 | A KAM Theorem for Two Dimensional Completely Resonant Reversible Schrödinger Systems | 期刊论文 | Jiansheng Geng;Zhaowei Lou;Yingnan Sun |
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