Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience
DOI10.3934/dcds.2022136zbMath1518.35161arXiv2202.12539OpenAlexW4221142583MaRDI QIDQ6102544
Zhennan Zhou, Delphine Salort, Xu'an Dou, Perthame, Benoît
Publication date: 23 June 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.12539
neural networksFokker-Planck kinetic equationintegrate-and-fire networksvoltage-conductance Vlasov equation
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Neural networks for/in biological studies, artificial life and related topics (92B20) A priori estimates in context of PDEs (35B45) Fokker-Planck equations (35Q84)
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