Topic:Professor Shangbing Ai
Speaker: The entry-exitfunction and relaxation oscillations in slow-fast systems
Event date: 6/10/2019
Event time: 16:30 pm
Venue: Room 204,Building 9
Sponsor: School of Mathematics and Statistics, Institute of Science and Technology
Abstract: The entry-exitfunction for the phenomenon of delay of stability loss (Pontryagin delay)arising in some slow-fast planar systems plays a key rolein establishing theexistence of limit cycles that exhibit relaxation oscillations. In this talk,we discuss an elementary approach to study the entry-exit function and itsapplications to a broad class of predator-prey models on the existence ofsingle and multiple relaxation oscillations. An application to the existence ofperiodic traveling wave solutions to a diffusive predator-prey model will alsobe presented.