Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field

DOI10.1137/22M1482329zbMath1504.35579arXiv2203.02438MaRDI QIDQ5056851

Heather L. Cihak, Zachary P. Kilpatrick, Tahra L. Eissa

Publication date: 8 December 2022

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.02438

zbMATH Keywords

perturbation theorystochastic differential equationsneural fieldswave stabilitybump attractor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Stability in context of PDEs (35B35) Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Pattern formations in context of PDEs (35B36)

Related Items (1)

Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity

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