Email this article On connection between continuous and discontinuous neural field models with microstructure: II. Radially symmetric stationary solutions in 2D (“bumps”)
- Authors: Burlakov E.O.1, Malkov I.N.2
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Affiliations:
- Derzhavin Tambov State University
- University of Tyumen
- Issue: Vol 25, No 129 (2020)
- Pages: 6-17
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/295062
- DOI: https://doi.org/10.20310/2686-9667-2020-25-129-6-17
- ID: 295062
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Abstract
We suggest a method allowing to investigate existence and the measure of proximity between the stationary solutions to continuous and discontinuous neural fields with microstructure. The present part involves results on proximity of the stationary solutions to specific homogenized neural field equations with continuous and discontinuous activation functions. The results of numerical investigation of radially symmetric stationary solutions (bumps) to the neural field with a discontinuous activation function and a given microstructure are presented.
About the authors
Evgenii O. Burlakov
Derzhavin Tambov State University
Email: eb_@bk.ru
PhD, Researcher at the Research and Educational Center “Fundamental Mathematical Research” 33 Internatsionalnaya St., Tambov 392000, Russian Federation
Ivan N. Malkov
University of Tyumen
Email: i.n.malkov@yandex.ru
Student of the Institute of Mathematics and Computer Science 6 Volodarskogo St., Tyumen 625003, Russian Federation
References
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