{"title":"时滞企业共生系统的稳定性与分岔","authors":"Aiying Jiao, W. Xiao","doi":"10.1109/ICECE.2010.489","DOIUrl":null,"url":null,"abstract":"In this paper, a two-enterprise symbiosis Lotka--Volterra system with continuous delay is considered. We first introduce the characteristic of enterprise system, and then investigate the stability of the positive equilibrium and the existence of Hopf bifurcations. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem.","PeriodicalId":6419,"journal":{"name":"2010 International Conference on Electrical and Control Engineering","volume":"10 1","pages":"1989-1992"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability and Bifurcation in Enterprise Symbiosis System with Delay\",\"authors\":\"Aiying Jiao, W. Xiao\",\"doi\":\"10.1109/ICECE.2010.489\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a two-enterprise symbiosis Lotka--Volterra system with continuous delay is considered. We first introduce the characteristic of enterprise system, and then investigate the stability of the positive equilibrium and the existence of Hopf bifurcations. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem.\",\"PeriodicalId\":6419,\"journal\":{\"name\":\"2010 International Conference on Electrical and Control Engineering\",\"volume\":\"10 1\",\"pages\":\"1989-1992\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Electrical and Control Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICECE.2010.489\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Electrical and Control Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICECE.2010.489","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability and Bifurcation in Enterprise Symbiosis System with Delay
In this paper, a two-enterprise symbiosis Lotka--Volterra system with continuous delay is considered. We first introduce the characteristic of enterprise system, and then investigate the stability of the positive equilibrium and the existence of Hopf bifurcations. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem.
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