{"title":"一类简单动力学系统的分岔复杂性","authors":"M. Shashkov","doi":"10.1109/ISCAS.2000.856039","DOIUrl":null,"url":null,"abstract":"A class of codimension two dynamical systems with very simple dynamics is considered. In spite of simplicity of the dynamical behavior, the structure of the bifurcation set is rather complicated. It is shown that there is no versal two-parameter family of dynamical systems which could describe completely the structure of the bifurcational set.","PeriodicalId":6422,"journal":{"name":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2000-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On complexity of bifurcations for some classes of systems with simple dynamics\",\"authors\":\"M. Shashkov\",\"doi\":\"10.1109/ISCAS.2000.856039\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A class of codimension two dynamical systems with very simple dynamics is considered. In spite of simplicity of the dynamical behavior, the structure of the bifurcation set is rather complicated. It is shown that there is no versal two-parameter family of dynamical systems which could describe completely the structure of the bifurcational set.\",\"PeriodicalId\":6422,\"journal\":{\"name\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCAS.2000.856039\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCAS.2000.856039","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On complexity of bifurcations for some classes of systems with simple dynamics
A class of codimension two dynamical systems with very simple dynamics is considered. In spite of simplicity of the dynamical behavior, the structure of the bifurcation set is rather complicated. It is shown that there is no versal two-parameter family of dynamical systems which could describe completely the structure of the bifurcational set.
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