Quasi-periodic waves and the transfer of stability in condensed-phase surface combustion

This article is concerned with the structure and stability properties of a combustion front propagating in the axial direction along the outer surface of a cylindrical solid fuel element. A nonlinear analysis is given that explains the occurrence of spinning and standing wave patterns as bifurcations from a uniformly propagating plane circular front. Particular attention is given to a stability transfer mechanism between standing and spinning waves by means of quasi-periodic waves.