On Bi-Laminar Neural Field Models of Electrical Activity in the Primary Visual Cortex

E Burlakov, I Malkov - Advances in Systems Science and Applications, 2023 - ijassa.ipu.ru
We investigate the modelling framework for studying electrical activity in the primary visual
cortex of the brain based on a bi-laminar neural field equation. The deep layer of the neural …

Caristi-Type Conditions in Constraint Minimisation of Mappings in Metric and Partially Ordered Spaces

E Zhukovskiy, E Burlakov, I Malkov - Set-Valued and Variational Analysis, 2023 - Springer
We consider the problem of finding minima of mappings defined on metric and partially
ordered spaces subject to constraints in the form of inclusions (and as a consequence in the …

A Model of Travelling Waves in the Neural Medium with Directional Variability of Inhibitory Effects

I Malkov, E Burlakov, V Verkhlyutov… - International Conference …, 2024 - Springer
In the present study we test the hypothesis on a radially asymmetric spread of evoked
cortical traveling wave corresponding to the stimulation of the median nerve. We employ the …

[HTML][HTML] О существовании и устойчивости решений типа «кольцо» уравнений нейронного поля Амари с периодической микроструктурой и функцией …

А Рашид, ЕО Бурлаков, ИН Мальков - Вестник российских …, 2022 - cyberleninka.ru
В работе изучены существование и устойчивость решений типа «кольцо» двумерного
уравнения нейронного поля Амари с периодической микроструктурой и функцией …