Simulations showing damped traveling waves and a localized response when the input strength is varied. (A-B) Diagrams of total activity at equally-spaced times. (C-D) Plots of distance traveled for the peaks (as percentage of global maximum) of curves in (A-B), respectively. (C) is fitted to an exponential as in  while (D) fits a linear curve with slope that can be approximated as infinity on the given scale. (E-F) Plots of the rate of propagation of the peaks in (A-B), respectively. Both fits are linear but the localized behavior moves at a much smaller speed. Insets are reproduced from .