The response of spiral waves to external perturbations in a stable regime of the two-dimensional complex Ginzburg-Landau equation (CGLE) is investigated. It is shown that the spiral core has a finite mobility and performs Brownian motion when driven by white noise. Combined with simulation results, this suggests that defect-free and quasifrozen states in the noiseless CGLE are susceptible to unpaired vortex excitation at any nonzero noise strength.
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Aranson et al. (1998) studied this question.
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