{"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}
引用次数: 6
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.
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