Suppression of Noise-Induced Modulations in Multidelay Systems.
Suppression of Noise-Induced Modulations in Multidelay Systems.
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多延迟系统中噪声引起的调制的抑制
DOI：
10.1103/physrevlett.117.154101
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发表时间：
2016
影响因子：
8.6
通讯作者：
Lüdge
中科院分区：
文献类型：
--
作者：
Jaurigue;Schöll;Lüdge
许多物理系统涉及时滞反馈或耦合。在这样的延迟系统中，噪声会在与延迟时间谐振的频率处引起不期望的振荡。我们研究如何一个额外的反馈项可以抑制噪声引起的调制延迟系统的自反馈，表现出确定性的振荡动力学。一个简单的特征方程推导出预测的最佳延迟时间为原型的例子的斯图尔特-朗道振荡器受到两个反馈项。然后，我们表明，相同形式的特征方程准确地描述了更复杂的振荡系统的主导Floquet模式，因此可以用来优化抑制噪声引起的调制。这是锁模激光器和FitzHugh-Nagumo振荡器的自反馈。
Many physical systems involve time-delayed feedback or coupling. In such delay systems, noise can give rise to undesirable oscillations at frequencies resonant to the delay times. We investigate how an additional feedback term can suppress noise-induced modulations in delay systems with self-feedback that exhibit deterministic oscillatory dynamics. A simple characteristic equation is derived to predict optimal delay times for the prototypical example of a Stuart-Landau oscillator subject to two feedback terms. We then show that a characteristic equation of the same form accurately describes the dominant Floquet modes of more complex oscillatory systems and hence can be used to optimize the suppression of noise-induced modulations. This is shown for mode-locked lasers and FitzHugh-Nagumo oscillators subject to self-feedback.