报告题目：Averaging method for quasi-periodic response solutions

报告人：邢佳敏 副教授 东北师范大学数学与统计学院

报告时间： 2025年11月20日13:30 – 14:30

报告地点：#腾讯会议：500-791-538  会议密码：1120

校内联系人：张赫[email protected]

报告摘要：

In this talk, we show an averaging method for obtaining quasi-periodic response solutions in perturbed, real analytic, quasi-periodic systems with Diophantine frequency vectors. Assuming that the averaged system possesses a non-degenerate equilibrium and that the eigenvalues of its linearized matrix are pairwise distinct, we show that the original system admits a quasi-periodic response solution for parameters in a Cantorian set. The proof is based on KAM techniques.  This averaging method can be extended to second-order systems and a higher-order averaging method is also considered.

报告人简介：邢佳敏，东北师范大学数学与统计学院副教授。本科、博士均毕业于成人直播平台 ，主要从事微分方程和动力系统的研究，在 J. Differential Equations, J. Stat. Phys., Sci. China Math.等期刊上发表论文多篇。