{"title":"Periodic Solutions of Branched Space from Closed Orbits under Mixed Perturbations","authors":"L. Deng, Ruiping Huang, Wenhui Hao, Qingzheng Xu","doi":"10.1145/3348400.3348406","DOIUrl":null,"url":null,"abstract":"By combining the means of the center manifold theorem and Planar branching theory, this paper studies the sufficient conditions for general three-dimensional systems to branch out into spatial periodic solutions under mixed perturbations, and obtains two theorems for judging the periodic solutions of general three-dimensional systems branching out from closed orbits, which generalize the results of existing planar systems.","PeriodicalId":297459,"journal":{"name":"Proceedings of the 2019 International Conference on Mathematics, Science and Technology Teaching and Learning - ICMSTTL 2019","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2019 International Conference on Mathematics, Science and Technology Teaching and Learning - ICMSTTL 2019","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3348400.3348406","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
By combining the means of the center manifold theorem and Planar branching theory, this paper studies the sufficient conditions for general three-dimensional systems to branch out into spatial periodic solutions under mixed perturbations, and obtains two theorems for judging the periodic solutions of general three-dimensional systems branching out from closed orbits, which generalize the results of existing planar systems.
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