Limit cycles and critical periods with non-hyperbolic slow-fast systems
时间  Datetime
2024-03-21 10:00 — 11:30
地点  Venue
会议室(706)
报告人  Speaker
Peter de Maesschalck
单位  Affiliation
University Hasselt
邀请人  Host
张祥
备注  remarks
报告摘要  Abstract

By considering planar slow-fast systems with a double curve of singular points, we obtain lower bounds on the number of limit cycles of polynomial systems surrounding a single singular point as well as lower bounds on the number of critical periods in one annulus of periodic orbits.  In some circumstances, orbits of such slow-fast systems are shown to not have the typical slow-fast behaviour but behave more in a hit-and-run style: orbits fastly move towards the critical curve, are briefly paused there and then continue their path.
--
FROM 202.120.11.*