文章基本信息

标题：Determination of limit cycles using stroboscopic set-valued maps
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作者：Jawher Jerray ; Laurent Fribourg
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：5
页码：139-144
DOI：10.1016/j.ifacol.2021.08.488
语种：English
出版社：Elsevier
摘要：AbstractGiven a dynamical system Σpwith a parameterptaking its values in a fixed interval Q, we present a simple criterion of set inclusion which guarantees that the Euler approximate solutions of Σpofor some valuepo∈Qconverge to a limit cycleE.Moreover, we characterize a compact set I containingεwhich is invariant for the exact solutions of Σpwhatever the value ofp∈Q.We illustrate the application of our method on the example of a parametric Van der Pol system driven by a periodic input.
关键词：Keywordsparametric differential equationsperiodicityuncertainty