{"title":"具有一个慢变量的多维松弛系统的庞特里亚金持续现象和稳定的鸭子循环","authors":"A. Kolesov, E. Mishchenko","doi":"10.1070/SM1991V070N01ABEH002117","DOIUrl":null,"url":null,"abstract":"It is assumed that the equilibrium state of the relaxation system where and , passes generically through a point of discontinuity as varies. Under this condition stable duck cycles and cycles arising in a neighborhood of the equilibrium state are constructed.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"THE PONTRYAGIN PERSISTENCE PHENOMENON AND STABLE DUCK CYCLES OF MULTIDIMENSIONAL RELAXATION SYSTEMS WITH ONE SLOW VARIABLE\",\"authors\":\"A. Kolesov, E. Mishchenko\",\"doi\":\"10.1070/SM1991V070N01ABEH002117\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is assumed that the equilibrium state of the relaxation system where and , passes generically through a point of discontinuity as varies. Under this condition stable duck cycles and cycles arising in a neighborhood of the equilibrium state are constructed.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1991V070N01ABEH002117\",\"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-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1991V070N01ABEH002117","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
THE PONTRYAGIN PERSISTENCE PHENOMENON AND STABLE DUCK CYCLES OF MULTIDIMENSIONAL RELAXATION SYSTEMS WITH ONE SLOW VARIABLE
It is assumed that the equilibrium state of the relaxation system where and , passes generically through a point of discontinuity as varies. Under this condition stable duck cycles and cycles arising in a neighborhood of the equilibrium state are constructed.
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