Abstract
In the previous papers, we showed that a plane jet discharging into a channel exhibits selfsustained flip-flop motion which changes from periodic to chaotic oscillation at a certain Reynolds number. The present report deals with feedback control of the flip-flop jet based on the OGY method which is known to be useful in changing an unstable orbit into a stable orbit in the phase space of a nonlinear system. The method is first tested using model equations of both one-and two-dimensional systems, and is confirmed to work fairly well. The OGY method is applied to the numerical database of the flip-flop jet. It is found that for a certain range of control parameters, the unstable chaotic state can be reduced to a stable periodic state by the feedback input of short-interval and small-amplitude velocity perturbation.
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