D. Walgraef, PATTERN SELECTION AND THE EFFECT OF GROUP-VELOCITY ON INTERACTING OSCILLATORY AND STATIONARY INSTABILITIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(6), 1997, pp. 6887-6897
The effect of mean flows on pattern stability in systems where oscilla
tory instabilities of the Hopf type interact with stationary ones is i
nvestigated. Tn particular, it is shown that pattern selection may be
strongly modified when the absolute instability threshold of the trivi
al uniform steady state is rejected beyond the stationary instability.
The effect of spatially distributed noise including the competition b
etween noise sustained and dynamically sustained structures is also di
scussed.