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Cyclicity and critical period bifurcations in polynomial systems
时间  Datetime
2017-09-18 13:30 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Prof. Valerij Romanovskij
单位  Affiliation
University of Maribor, Slovenia
邀请人  Host
Yilei Tang
报告摘要  Abstract

We describe an approach to studying  cyclicity and  bifurcations of critical periods based on a complexification of the system and algorithms of computational algebra. Using this approach we obtain upper bounds on the number of limit cycles and critical periods of several families of polynomial  systems. The approach works also for some system with non-radical Bautin and linearizability ideals.