{"title":"混合扰动下闭轨道分支空间的周期解","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":"{\"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}","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}
Periodic Solutions of Branched Space from Closed Orbits under Mixed Perturbations
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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