Shujuan Geng, Weidong Zhou, Qi Yuan, Zheneng-hua Ma
{"title":"温德林脑电图模型的分岔现象","authors":"Shujuan Geng, Weidong Zhou, Qi Yuan, Zheneng-hua Ma","doi":"10.1109/ISBB.2011.6107658","DOIUrl":null,"url":null,"abstract":"In this paper, we present a mathematical analysis of an EEG model proposed by Wendling et al. We analyze the Hopf bifurcation and saddle-node bifurcation phenomenon of the model for explaining how it can produce several different types of EEG activity. We give a fairly detailed description of the behavior of the model by the bifurcation diagram. Study on bifurcations of Wendling's model provides further theoretical reference for understanding brain's nonlinear electric activity.","PeriodicalId":345164,"journal":{"name":"International Symposium on Bioelectronics and Bioinformations 2011","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Bifurcation phenomenon of wendling's EEG model\",\"authors\":\"Shujuan Geng, Weidong Zhou, Qi Yuan, Zheneng-hua Ma\",\"doi\":\"10.1109/ISBB.2011.6107658\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present a mathematical analysis of an EEG model proposed by Wendling et al. We analyze the Hopf bifurcation and saddle-node bifurcation phenomenon of the model for explaining how it can produce several different types of EEG activity. We give a fairly detailed description of the behavior of the model by the bifurcation diagram. Study on bifurcations of Wendling's model provides further theoretical reference for understanding brain's nonlinear electric activity.\",\"PeriodicalId\":345164,\"journal\":{\"name\":\"International Symposium on Bioelectronics and Bioinformations 2011\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-12-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Symposium on Bioelectronics and Bioinformations 2011\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISBB.2011.6107658\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Symposium on Bioelectronics and Bioinformations 2011","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISBB.2011.6107658","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we present a mathematical analysis of an EEG model proposed by Wendling et al. We analyze the Hopf bifurcation and saddle-node bifurcation phenomenon of the model for explaining how it can produce several different types of EEG activity. We give a fairly detailed description of the behavior of the model by the bifurcation diagram. Study on bifurcations of Wendling's model provides further theoretical reference for understanding brain's nonlinear electric activity.