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Ill-Posed Point Neuron Models

We show that point-neuron models with a Heaviside firing rate function can be ill posed. More specifically, the initial-condition-to-solution map might become discontinuous in finite time. Consequently, if finite precision arithmetic is used, then it is virtually impossible to guarantee the accurate...

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Detalles Bibliográficos
Autores principales: Nielsen, Bjørn Fredrik, Wyller, John
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5396507/
https://www.ncbi.nlm.nih.gov/pubmed/27129667
http://dx.doi.org/10.1186/s13408-016-0039-8