{"title":"lotka-volterra型系统的特定松弛周期","authors":"A. Kolesov","doi":"10.1070/IM1992V038N03ABEH002212","DOIUrl":null,"url":null,"abstract":"Effective conditions are found under which planar relaxation systems of a certain class have cycles with one δ-like component and another component close to discontinuous. A complete asymptotics of the cycles is constructed and the question on their stability is solved.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"254 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"SPECIFIC RELAXATION CYCLES OF SYSTEMS OF LOTKA-VOLTERRA TYPE\",\"authors\":\"A. Kolesov\",\"doi\":\"10.1070/IM1992V038N03ABEH002212\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Effective conditions are found under which planar relaxation systems of a certain class have cycles with one δ-like component and another component close to discontinuous. A complete asymptotics of the cycles is constructed and the question on their stability is solved.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"254 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1992V038N03ABEH002212\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V038N03ABEH002212","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
SPECIFIC RELAXATION CYCLES OF SYSTEMS OF LOTKA-VOLTERRA TYPE
Effective conditions are found under which planar relaxation systems of a certain class have cycles with one δ-like component and another component close to discontinuous. A complete asymptotics of the cycles is constructed and the question on their stability is solved.
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