It is known that a variety of stable periodic orbits can be created if a weak periodic perturbation is applied to a deep chaotic state. However, which orbit can be created is unpredictable. Because the periodicity of a time series can be determined by a Shannon entropy, we suggest that these orbits can be distinguished by this entropy and we may find the desired periodic orbit if we can further modify the perturbation guiding ourselves by this entropy. Thus, the method may provide a goal-oriented scheme for taming chaos with a weak periodic perturbation. We show theoretically the scheme in three different models, namely, a modified logistic mapping, a driven Duffing-Holmes oscillator, and a directly modulated semiconductor laser. The influence of noise is discussed and the efficiency of searching is estimated.
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