{"title":"考虑外力的单惯性神经元模型Hopf分岔研究","authors":"Qun Liu, X. Liao, Degang Yang, Songtao Guo","doi":"10.1109/GrC.2007.85","DOIUrl":null,"url":null,"abstract":"A delayed differential equation modeling a single neuron with time delay and external exciting is considered in this paper. The method to study Hopf bifurcation and periodic solution is researched by using the closed form with the aid of the center manifold and averaging theorem.","PeriodicalId":259430,"journal":{"name":"2007 IEEE International Conference on Granular Computing (GRC 2007)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"23","resultStr":"{\"title\":\"The Research for Hopf Bifurcation in a Single Inertial Neuron Model with External Forcing\",\"authors\":\"Qun Liu, X. Liao, Degang Yang, Songtao Guo\",\"doi\":\"10.1109/GrC.2007.85\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A delayed differential equation modeling a single neuron with time delay and external exciting is considered in this paper. The method to study Hopf bifurcation and periodic solution is researched by using the closed form with the aid of the center manifold and averaging theorem.\",\"PeriodicalId\":259430,\"journal\":{\"name\":\"2007 IEEE International Conference on Granular Computing (GRC 2007)\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-11-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"23\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 IEEE International Conference on Granular Computing (GRC 2007)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/GrC.2007.85\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 IEEE International Conference on Granular Computing (GRC 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/GrC.2007.85","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Research for Hopf Bifurcation in a Single Inertial Neuron Model with External Forcing
A delayed differential equation modeling a single neuron with time delay and external exciting is considered in this paper. The method to study Hopf bifurcation and periodic solution is researched by using the closed form with the aid of the center manifold and averaging theorem.