M. Garbey et al., QUASI-PERIODIC WAVES AND THE TRANSFER OF STABILITY IN CONDENSED-PHASESURFACE COMBUSTION, SIAM journal on applied mathematics, 52(2), 1992, pp. 384-395
This article is concerned with the structure and stability properties
of a combustion front propagating in the axial direction along the out
er surface of a cylindrical solid fuel element. A nonlinear analysis i
s given that explains the occurrence of spinning and standing wave pat
terns as bifurcations from a uniformly propagating plane circular fron
t. Particular attention is given to a stability transfer mechanism bet
ween standing and spinning waves by means of quasi-periodic waves.