2 papers
math.AP2025
Nonlinear multidomain model for nerve bundles with random structure
Irina Pettersson, Antonina Rybalko, Volodymyr Rybalko
We present a derivation of a multidomain model for the electric potential in bundles of randomly distributed axons with different radii. The FitzHugh-Nagumo dynamics is assumed on…
math.AP2024
Homogenization of nonlocal spectral problems
Andrey Piatnitski, Volodymyr Rybalko
We study asymptotic behavior of the bottom point of the spectrum of convolution type operators in environments with locally periodic microstructure. We show that its limit is descr…