Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience

DOI10.1088/0951-7715/28/9/3365zbMath1336.35332OpenAlexW2411034687WikidataQ60502731 ScholiaQ60502731MaRDI QIDQ3196564

Delphine Salort, Didier Smets, Perthame, Benoît, José Antonio Carrillo

Publication date: 29 October 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/28/9/3365

zbMATH Keywords

Fokker-Planck equation neural network blow-up global existence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Blow-up in context of PDEs (35B44) Fokker-Planck equations (35Q84)

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