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Determination of the optimal excitation frequency range in background flows
Yu G Izrailsky1, K V Koshel, D V Stepanov
1Institute for Automation and Control Processes of the Russian Academy of Sciences, 5 Radio Ulitsa, 690041 Vladivostok, Russia.
Abstract:
The chaotization of a vortical flow caused by a nonstationary incident flow is studied by the examples of several dynamically consistent models. It is shown that for relatively small values of excitation amplitude, the chaotization of such flows and, correspondingly, chaotic transport of passive scalars is determined by a small number of nonlinear resonances with frequencies close to the excitation frequency. Hence, the analysis of locations and overlaps of these resonances in the considered models makes it possible to derive fairly good estimates of excitation frequencies that are optimal for the chaotic transport.
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