Email this article EXISTENCE AND STABILITY OF BUMPS IN A NEURAL FIELD MODEL
- Authors: Kolodina K.1, Oleynik A.2, Wyller J.1
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Affiliations:
- Norwegian University of Life Sciences
- University of Bergen
- Issue: Vol 23, No 122 (2018)
- Pages: 131-135
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/297215
- DOI: https://doi.org/10.20310/1810-0198-2018-23-122-131-135
- ID: 297215
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Abstract
We investigate existence and stability of bumps (localized stationary solutions) in a homogenized 2-population neural field model, when the firing rate functions are given by the unit step function.
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The set of coupled integro-differential equations×
About the authors
Karina Kolodina
Norwegian University of Life Sciences
Email: karina.kolodina@nmbu.no
PhD-student at Faculty of Science and Technology 3 Universitetstunet, As 1433, Norway
Anna Oleynik
University of Bergen
Email: Anna.Oleynik@uib.no
PhD, Postdoctoral fellow at Department of Mathematics
John Wyller
Norwegian University of Life Sciences
Email: john.wyller@nmbu.no
PhD, Professor at Faculty of Science and Technology 41 Allegaten, Realfagbygget, Bergen 5020, Norway
References
- Nguetseng G. A general convergence result for a functional related to the theory of homogenization // SIAM Journal on Mathematical Analysis. 1989. Vol. 20. № 3. P. 608-623.
- Kolodina K., Oleynik A., Wyller J. Single bumps in a 2-population homogenized neuronal network model // Physica D: Nonlinear Phenomena. 2018. Vol. 310. P. 40-53.
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