{"title":"Zero-Hopf bifurcation of periodic orbits in the generalized Rössler system","authors":"Ahlem Roubache, E. Hadidi","doi":"10.24193/mathcluj.2022.1.13","DOIUrl":null,"url":null,"abstract":"We apply a technique of Llibre based on the averaging method to a Rössler-type three-dimensional quadratic system and we prove the existence of a periodic orbit.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2022.1.13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
We apply a technique of Llibre based on the averaging method to a Rössler-type three-dimensional quadratic system and we prove the existence of a periodic orbit.