演講公告

演講主題：Hybrid bifurcations: Periodicity from Eliminating a Line of Equilibria
主講人：戴佳原教授(清華大學數學系)
演講日期：2025年5月6日(星期二) 14:00 –15:00
演講地點：(光復校區) 科學一館213室
摘要內容：
Abstract
We describe a new mechanism that triggers periodic orbits in smooth dynamical systems. To this end, we introduce the concept of hybrid bifurcations, which consists of a bifurcation without parameters and a classical bifurcation. Our main result classifies the hybrid bifurcation when a line of equilibria with an exchange point of normal stability vanishes. We showcase the efficacy of our approach by proving stable periodic coexistent solutions in an ecosystem of two competing predators with Holling’s type II functional response. This is a joint work with Alejandro López Nieto, Phillipo Lappicy, Nicola Vassena, and Hannes Stuke.
相關檔案：Talk_1140506.pdf

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