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动力系统与非线性分析研究所学术报告(杨倩博士,上海理工大学)

来源:系统管理员 发布时间:2023-11-23

报告题目Asymptotics of Piecewise-Smooth Singularly Perturbed Dynamic System with Multiple Roots of the Degenerate Equation

报告人杨倩博士,上海理工大学

报告时间:20231124日(周五)15:00-16:00

报告地点腾讯会议:189-493-224

报告摘要:For piecewise-smooth dynamical systems with small parameters, the cases with multiple roots of the degenerate equations have been studied. Because the classical boundary layer function method and Fenichel’s three theorems are no longer applicable, constructing the asymptotic solution is very difficult. In this talk, by using asymptotic method, geometric theory and numerical method, multi-scale smooth asymptotic solutions are constructed and the existence of a contrast structure solution is proved.

报告人简介:杨倩,上海理工大学讲师,博士毕业于华东师范大学,师从倪明康教授,从事含有小参数的微分方程与动力系统中的理论及方法研究。德国《数学文摘》评论员,入选上海理工大学思学学者,顾铮先课程思政工作室,在Science China Mathematics等国内外权威期刊发表论文十多篇,主持市级科研项目1项。

邀请人:戴燕飞