Clamping and Synchronization in the Strongly Coupled FitzHugh--Nagumo Model
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Publication:4961120
DOI10.1137/19M1283884zbMath1447.35335arXiv1804.06758MaRDI QIDQ4961120
Jonathan D. Touboul, Cristóbal Quiñinao
Publication date: 21 April 2020
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06758
KdV equations (Korteweg-de Vries equations) (35Q53) Neural biology (92C20) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs in connection with statistical mechanics (35Q82)
Related Items (11)
Concentration Phenomena in Fitzhugh–Nagumo Equations: A Mesoscopic Approach ⋮ Stabilization of stochastic highly non-linear multi-links systems via aperiodically intermittent control ⋮ Dynamics and synchronization of boundary coupled FitzHugh-Nagumo neural networks ⋮ Large coupling in a FitzHugh-Nagumo neural network: quantitative and strong convergence results ⋮ Existence, stability and regularity of periodic solutions for nonlinear Fokker-Planck equations ⋮ Concentration profiles in FitzHugh-Nagumo neural networks: a Hopf-Cole approach ⋮ Asymptotic limit of a spatially-extended mean-field FitzHugh–Nagumo model ⋮ Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model ⋮ Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction: a slow-fast dynamics approach ⋮ Feedback synchronization of FHN cellular neural networks ⋮ Dynamics and synchronization of complex neural networks with boundary coupling
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