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.
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Chomaz et al. (1988) studied this question.
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