精品文档---下载后可任意编辑一类二维非线性拟周期系统在退化平衡点的约化的开题报告【摘要】本文讨论了一类二维非线性拟周期系统在退化平衡点的约化问题。首先针对该系统的具体形式，推导出了关键参数的集合，进而讨论了退化平衡点的存在性和稳定性。接着，结合该系统的可积性质，利用近似计算方法，对约化系统进行了分析，并探讨了相变现象的发生条件与特性。最后，通过数值仿真验证了理论分析的正确性和可行性。【关键词】二维非线性拟周期系统；退化平衡点；约化；相变【Abstract】This paper studies the reduction of a class of two-dimensional nonlinear quasi-periodic systems at degenerate equilibrium points. Firstly, for the specific form of the system, the set of critical parameters is derived, and the existence and stability of the degenerate equilibrium point are discussed. Then, combined with the integrable property of the system, the reduced system is analyzed by using approximation method, and the conditions and characteristics of phase transition are explored. Finally, the correctness and feasibility of the theoretical analysis are verified by numerical simulation.【Keywords】Two-dimensional nonlinear quasi-periodic system; degenerate equilibrium point; reduction; phase transition
