Linearization and perturbations of switching systems

主讲人：陈兴武 四川大学教授

时间：2023年5月16日14：00

地点：腾讯会议 503 428 991

举办单位：数理学院

内容介绍：We talk about the linearization and perturbations of planar switching systems separated by x-axis and sharing the origin as a non-degenerate equilibrium. In the sense of Sigma-equivalence, we provide a sufficient condition for piecewise linearization near the origin, generalizing the classical linearization theorem to switching systems. This condition is hard to be weakened because there exist systems that are not linearizable when this condition is not satisfied. On the other hand, perturbations are considered for such systems to birth any finitely or infinitely many crossing limit cycles.