在 $$\mathbb {R}^4$$ 中表现出零-霍普夫分岔的解析微分系统的周期轨道和 $$C^1$$ 第一次积分的不存在性

{"title":"在 $$\\mathbb {R}^4$$ 中表现出零-霍普夫分岔的解析微分系统的周期轨道和 $$C^1$$ 第一次积分的不存在性","authors":"Jaume Llibre, Renhao Tian","doi":"10.1007/s12215-024-01074-8","DOIUrl":null,"url":null,"abstract":"","PeriodicalId":21006,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo Series 2","volume":"105 27","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Periodic orbits and non-existence of $$C^1$$ first integrals for analytic differential systems exhibiting a zero-Hopf bifurcation in $$\\\\mathbb {R}^4$$\",\"authors\":\"Jaume Llibre, Renhao Tian\",\"doi\":\"10.1007/s12215-024-01074-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\",\"PeriodicalId\":21006,\"journal\":{\"name\":\"Rendiconti del Circolo Matematico di Palermo Series 2\",\"volume\":\"105 27\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Rendiconti del Circolo Matematico di Palermo Series 2\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s12215-024-01074-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Rendiconti del Circolo Matematico di Palermo Series 2","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s12215-024-01074-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}