K. Nam et al., STABILITY OF SPIRAL WAVE VORTEX FILAMENTS WITH PHASE TWISTS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(2), 1998, pp. 2580-2585
In this paper we investigate the stability of a straight vortex filame
nt with phase twist described by the three-dimensional complex Ginzbur
g-Landau equation (CGLE). The results of the linear stability analysis
show that the straight filament is stable in a limited region of the
two parameter space of the CGLE. The stable region is dependent on the
phase twist imposed on the filament and shrinks in size as the phase
twist is increased. It is also shown numerically that the nonlinear ev
olution of an unstable initial straight filament can lead to a helical
filament.