Nonlinear stability of periodic wave trains in the FitzHugh-Nagumo
system against fully nonlocalized perturbations
Nonlinear stability of periodic wave trains in the FitzHugh-Nagumo
system against fully nonlocalized perturbations
Recently, a nonlinear stability theory has been developed for periodic wave trains in reaction-diffusion systems, which diverges from previous approaches by lifting all localization or periodicity assumptions on perturbations. It solely relies on decay caused by diffusive smoothing in combination with spatio-temporal phase modulation and the Cole-Hopf transformation to close …