We employed the concept of Shannon entropy to characterize the periodicity of the output wave form of a modulated nonlinear diode resonator. A goal-oriented scheme for taming chaos with a weak periodic perturbation is experimentally demonstrated. It is found that a resonancelike regularity is exhibited when the perturbation frequency f(w) follows f(w) = f(m), where f(m) is the modulation frequency and n is an integer. When f(w) is roughly equal to f(m) and n is small, there exists a low-period orbit, while a larger n results in a high-period orbit. The perturbation's intensity can change thl-, periodicity dramatically; however, as f(w) is chosen to be f(m)*, the smallest periodicity of the output wave form is n*. This regularity disappears as n becomes too large (similar to 1000) and other dynamics takes place.
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机译：我们采用了香农熵的概念来表征调制非线性二极管谐振器的输出波形的周期性。通过实验证明了一种以目标为导向的方案，用于以较弱的周期性扰动来驯服混沌。发现当扰动频率f（w）遵循f（w）＝ f（m）/ n时，表现出类似共振的规律性，其中f（m）是调制频率并且n是整数。当f（w）大致等于f（m）/ n且n较小时，存在一个低周期轨道，而较大的n则导致一个高周期轨道。扰动的强度可以周期性地变化。但是，由于将f（w）选择为f（m）/ n *，因此输出波形的最小周期为n *。随着n变得太大（类似于1000），此规律消失了，并发生了其他动态变化。
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