Rapidly forming, slowly evolving, spatial patterns from quasi-cycle Mexican Hat coupling

Rapidly forming, slowly evolving, spatial patterns from quasi-cycle Mexican Hat coupling

A lattice-indexed family of stochastic processes has quasi-cycle oscillations if its otherwise-damped oscillations are sustained by noise. Such a family performs the reaction part of a discrete stochastic reaction-diffusion system when we insert a local Mexican Hat-type, difference of Gaussians, cou...

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Bibliographic Details
Main Authors: P. E. Greenwood, L. M. Ward
Format: Article
Language:English
Published: AIMS Press 2019-07-01
Series:Mathematical Biosciences and Engineering
Subjects:
kuramoto model
mexican hat
quasi-cycles
quasi-patterns
neural oscillators
stochastic neural field
excitation-inhibition interaction
Online Access:https://www.aimspress.com/article/10.3934/mbe.2019338?viewType=HTML

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https://www.aimspress.com/article/10.3934/mbe.2019338?viewType=HTML

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