{"title":"计算高维Hopf分岔的参数","authors":"L. Du, Dongwei Huang","doi":"10.1109/ICIC.2011.44","DOIUrl":null,"url":null,"abstract":"It is well known that it is difficult to analyze the existence and stability of high-dimensional Hopf bifurcations of multi-dimensional dynamical systems. We compiled a Mathematica program to calculate the parameters for analyzing the stability of the periodic solution and the occurrence of high-dimensional Hopf bifurcation of multi-dimensional dynamical systems. It is easy to judge the direction and the stability of bifurcation via calculating some parameters of high-dimensional Hopf bifurcation by using our program.","PeriodicalId":6397,"journal":{"name":"2011 Fourth International Conference on Information and Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Calculating the Parameters of a High-Dimensional Hopf Bifurcation\",\"authors\":\"L. Du, Dongwei Huang\",\"doi\":\"10.1109/ICIC.2011.44\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is well known that it is difficult to analyze the existence and stability of high-dimensional Hopf bifurcations of multi-dimensional dynamical systems. We compiled a Mathematica program to calculate the parameters for analyzing the stability of the periodic solution and the occurrence of high-dimensional Hopf bifurcation of multi-dimensional dynamical systems. It is easy to judge the direction and the stability of bifurcation via calculating some parameters of high-dimensional Hopf bifurcation by using our program.\",\"PeriodicalId\":6397,\"journal\":{\"name\":\"2011 Fourth International Conference on Information and Computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Conference on Information and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIC.2011.44\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2011.44","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Calculating the Parameters of a High-Dimensional Hopf Bifurcation
It is well known that it is difficult to analyze the existence and stability of high-dimensional Hopf bifurcations of multi-dimensional dynamical systems. We compiled a Mathematica program to calculate the parameters for analyzing the stability of the periodic solution and the occurrence of high-dimensional Hopf bifurcation of multi-dimensional dynamical systems. It is easy to judge the direction and the stability of bifurcation via calculating some parameters of high-dimensional Hopf bifurcation by using our program.
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