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Regularization of Ill-Posed Point Neuron Models

Point neuron models with a Heaviside firing rate function can be ill-posed. That is, the initial-condition-to-solution map might become discontinuous in finite time. If a Lipschitz continuous but steep firing rate function is employed, then standard ODE theory implies that such models are well-posed...

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Detalles Bibliográficos
Autor principal: Nielsen, Bjørn Fredrik
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5509800/
https://www.ncbi.nlm.nih.gov/pubmed/28707194
http://dx.doi.org/10.1186/s13408-017-0049-1