{"title":"Hindmarsh-Rose神经元模型的PWL逼近及其电路实现","authors":"F. Bizzarri, D. Linaro, M. Storace","doi":"10.1109/ECCTD.2007.4529737","DOIUrl":null,"url":null,"abstract":"A two-dimensional piecewise-linear approximation of the Hindmarsh-Rose neuron model is obtained, in view of its circuit implementation. The obtained approximation is checked by varying two bifurcation parameters. The brute-force two-dimensional bifurcation diagram of the original model is compared with the one of the piecewise-linear approximation, showing that the approximation is able to reproduce the main qualitative behaviours (quiescency, spiking, bursting, chaotic dynamics) of the original model.","PeriodicalId":445822,"journal":{"name":"2007 18th European Conference on Circuit Theory and Design","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"PWL approximation of the Hindmarsh-Rose neuron model in view of its circuit implementation\",\"authors\":\"F. Bizzarri, D. Linaro, M. Storace\",\"doi\":\"10.1109/ECCTD.2007.4529737\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A two-dimensional piecewise-linear approximation of the Hindmarsh-Rose neuron model is obtained, in view of its circuit implementation. The obtained approximation is checked by varying two bifurcation parameters. The brute-force two-dimensional bifurcation diagram of the original model is compared with the one of the piecewise-linear approximation, showing that the approximation is able to reproduce the main qualitative behaviours (quiescency, spiking, bursting, chaotic dynamics) of the original model.\",\"PeriodicalId\":445822,\"journal\":{\"name\":\"2007 18th European Conference on Circuit Theory and Design\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 18th European Conference on Circuit Theory and Design\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ECCTD.2007.4529737\",\"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 18th European Conference on Circuit Theory and Design","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ECCTD.2007.4529737","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
PWL approximation of the Hindmarsh-Rose neuron model in view of its circuit implementation
A two-dimensional piecewise-linear approximation of the Hindmarsh-Rose neuron model is obtained, in view of its circuit implementation. The obtained approximation is checked by varying two bifurcation parameters. The brute-force two-dimensional bifurcation diagram of the original model is compared with the one of the piecewise-linear approximation, showing that the approximation is able to reproduce the main qualitative behaviours (quiescency, spiking, bursting, chaotic dynamics) of the original model.
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