主講人：陳興武 四川大學(xué)教授

時(shí)間：2023年5月16日14：00

地點(diǎn)：騰訊會(huì)議 503 428 991

舉辦單位：數(shù)理學(xué)院

內(nèi)容介紹：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.