Neural field equations with neuron‐dependent Heaviside‐type activation function and spatial‐dependent delay-Reference-Cited by-同舟云学术

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Neural field equations with neuron‐dependent Heaviside‐type activation function and spatial‐dependent delay

Published:2020-06-29 Issue:15 Volume:44 Page:11895-11903
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Burlakov Evgenii¹²^ORCID,Zhukovskiy Evgeny²³,Verkhlyutov Vitaly⁴

Affiliation:

1. X‐Bio Institute University of Tyumen Tyumen Russia

2. Laboratory of Mathematical Methods of Research of Optimum Operated Systems V. A. Trapeznikov Institute of Control Sciences of RAS Moscow Russia

3. Research Institute of Mathematics, Physics and Computer Sciences Derzhavin Tambov State University Tambov Russia

4. Human Higher Nervous Activity Lab Institute of Higher Nervous Activity and Neurophysiology of RAS Moscow Russia

Funder

Russian Foundation for Basic Research

Russian Science Foundation

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.6661

Reference37 articles.

1. The Dynamic Brain: From Spiking Neurons to Neural Masses and Cortical Fields

2. Spatiotemporal dynamics of continuum neural fields

3. Dynamics of pattern formation in lateral-inhibition type neural fields

4. Ow well‐posedness of generalized neural field equations with delay;Burlakov E;J Abstr Dif Eq Appl,2015

5. Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities

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