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We outline a possible scenario of successive bifurcations to local and global modes on a Ginzburg-Landau model with varying coefficients. It is shown that self-sustained resonances may appear via a Hopf bifurcation when the system exhibits a region of local absolute instability which is sufficiently large. Our findings are in qualitative agreement with experimental observations of spatially developing flows such as wakes and inhomogeneous jets.
Chomaz et al. (Mon,) studied this question.