驱动振子参数空间中的复制周期窗
Replicate Periodic Windows in the Parameter Space of Driven Oscillators
摘要：
在驱动振子的二维参数空间中，虾形周期窗口陷入混沌区域。对于其中的两个振子，即Duffing和约瑟夫森结，我们表明，一个弱的谐波扰动复制这些周期性的窗口，产生相应的周期轨道的参数区域。新的窗口是由参数组成的，其周期轨道具有类似于未扰动振子已经存在的稳定和不稳定周期轨道的周期性和图案。这些功能表明，报告的复制周期窗口与混沌控制所考虑的振荡器。
英文摘要：
In the bi-dimensional parameter space of driven oscillators, shrimp-shaped periodic windows are immersed in chaotic regions. For two of these oscillators, namely, Duffing and Josephson junction, we show that a weak harmonic perturbation replicates these periodic windows giving rise to parameter regions correspondent to periodic orbits. The new windows are composed of parameters whose periodic orbits have periodicity and pattern similar to stable and unstable periodic orbits already existent for the unperturbed oscillator. These features indicate that the reported replicate periodic windows are associated with chaos control of the considered oscillators.
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