Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis

DOI10.1007/s00285-016-1070-9zbMath1377.37116arXiv1603.04486OpenAlexW2300836216WikidataQ41459991 ScholiaQ41459991MaRDI QIDQ2408052

Daniele Avitable, Kyle C. A. Wedgwood

Publication date: 9 October 2017

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04486

zbMATH Keywords

Markov chainspatio-temporal patternrefractorinessmathematical neurosciencemultiple scale analysisequation-free modelling

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Developmental biology, pattern formation (92C15) Multiple scale methods for ordinary differential equations (34E13)

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Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire Neurons ⋮ Convergence of Equation-Free Methods in the Case of Finite Time Scale Separation with Application to Deterministic and Stochastic Systems ⋮ Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially Extended Noise ⋮ Kinetic Models for Pattern Formation in Animal Aggregations: A Symmetry and Bifurcation Approach

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