{"title":"平面微分系统周期轨道不存在的判据","authors":"J. Giné, J. Llibre","doi":"10.56415/basm.y2023.i1.p3","DOIUrl":null,"url":null,"abstract":"In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.","PeriodicalId":102242,"journal":{"name":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Criteria for the nonexistence of periodic orbits in planar differential systems\",\"authors\":\"J. Giné, J. Llibre\",\"doi\":\"10.56415/basm.y2023.i1.p3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.\",\"PeriodicalId\":102242,\"journal\":{\"name\":\"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica\",\"volume\":\"50 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56415/basm.y2023.i1.p3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56415/basm.y2023.i1.p3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Criteria for the nonexistence of periodic orbits in planar differential systems
In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.
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