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SEMINARS
Bifurcation Analysis in Biological Systems
时间  Datetime
2019-06-14 10:00 — 11:30 
地点  Venue
437
报告人  Speaker
Pei Yu
单位  Affiliation
Western University
邀请人  Host
张祥
报告摘要  Abstract

Analysis on higher-codimension degenerate Hopf bifurcation and Bogdanov-Takens (BT) bifurcation is not easy even for planar dynamical systems. In this talk, we present several biological systems to show how to determine the codimension of degenerate Hopf bifurcation and BT bifurcation, which can be used to find the maximal number of bifurcating limit cycles. In particular, we present one-step transformation in computing the normal form of higher-codimension BT bifurcation with unfolding using the parametric simplest normal form theory. Analysis on higher-codimension degenerate Hopf bifurcation and Bogdanov-Takens (BT) bifurcation is not easy even for planar dynamical systems. In this talk, we present several biological systems to show how to determine the codimension of degenerate Hopf bifurcation and BT bifurcation, which can be used to find the maximal number of bifurcating limit cycles. In particular, we present one-step transformation in computing the normal form of higher-codimension BT bifurcation with unfolding using the parametric simplest normal form theory.