3 papers
math.DS2026
A Heterogeneous FitzHugh-Nagumo Model Exhibiting Local and Regional Dynamics that Mimic Spontaneous Atrial Fibrillation
Alexander Hattoum, Camden Kilton, Martin Mohlenkamp +3
We study two-dimensional networks of FitzHugh-Nagumo oscillators in regimes that mimic cardiac tissue. The networks include small layers of cells that have fast-recovery characteri…
math.AP2024
Pinning and dipole asymptotics of locally deformed striped phases
Arnd Scheel, Qiliang Wu
We investigate the effect of spatial inhomogeneity on perfectly periodic, self-organized striped patterns in spatially extended systems. We demonstrate that inhomogeneities select…
nlin.PS2023
Weak Diffusive Stability of Roll Solutions at the Zigzag Boundary
Abhijit Chowdhary, Mason Haberle, William Ofori-atta +1
Roll solutions at the zigzag boundary, typically selected by patterns and defects in numerical simulations, are shown to be nonlinearly stable. This result also serves as an exampl…