Summary: We illustrate the formation and evolution of cellular flames described by localized, ordered solutions of a modified Kuramoto-Sivashinsky equation (MKSE) derived for flames stabilized on a burner. The MKSE equation accounts for a slight curvature of the flat front due to the slowing of the gas flow near the burner rim. We describe (i) pinned flickering cellular flames, in which there is a cellular array with the center of each cell fixed in space, though the cell width and temperature distribution pulsate in time, and (ii) rotating flickering cellular flames, in which there is a roughly circular array of cells, with each cell both rotating and pulsating.