报告人：Pei Yu (Western University)

报告题目：An efficient solution procedure for solving higher-codimension Hopf and Bogdanov-Takens bifurcations

报告摘要：In solving real world systems for higher-codimension bifurcation problems, one often faces the difficulty in computing the normal form or the focus values associated with generalized Hopf bifurcation, and the normal form with unfolding for higher-codimension Bogdanov-Takens bifurcation. The difficulty is not only coming from the teadious symbolic computation of focus values, but also due to the restriction on the system parameters, which frequently leads to failure of the conventional approach used in the computation even for simple 2-dimensional nonlinear dynamical systems. In this talk, we use a simple 2-d epidemic model, for which the conventional approach fails in analyzing the stability of limit cycles arising from Hopf bifurcation, to illustrate how our method can be efficiently applied to determine the codimension of Hopf bifurcation. Further, we apply the simplest normal form theory to consider codimension-3 Bogdanov-Takens bifurcation and present an efficient one-step transformation approach, compared with the classical six-step transformation approach to demonstrate the advantage of our method.

报告时间：2022年7月1日9:00-11:00

报告形式：腾讯会议，会议号：430-195-434

报告人主页：https://publish.uwo.ca/~pyu