通过频率洗牌实现同步

Manaoj Aravind, Vaibhav Pachaulee, Mrinal Sarkar, Ishant Tiwari, Shamik Gupta, P. Parmananda
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摘要

各种工程系统和自然系统都被模拟为耦合非线性振荡器网络。在自然界中,这些振荡器的固有频率在时间上并不恒定。在这里,我们通过 Kuramoto 模型的视角,探究这种时间异质性对耦合振荡器网络的影响。为此,我们以随机或有规律的时间间隔反复改变振荡器之间的固有频率。结果发现,频繁的洗牌会诱导振荡器相位间的同步更早出现(即在较低的耦合下)。我们的研究提供了一种在资源约束条件下诱导和控制同步性的新策略。我们通过分析和实验证明了我们的结果,实验对象是内部频率被及时洗牌的维恩桥振荡器网络。
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Synchronization through frequency shuffling
A wide variety of engineered and natural systems are modelled as networks of coupled nonlinear oscillators. In nature, the intrinsic frequencies of these oscillators are not constant in time. Here, we probe the effect of such a temporal heterogeneity on coupled oscillator networks, through the lens of the Kuramoto model. To do this, we shuffle repeatedly the intrinsic frequencies among the oscillators at either random or regular time intervals. What emerges is the remarkable effect that frequent shuffling induces earlier onset (i.e., at a lower coupling) of synchrony among the oscillator phases. Our study provides a novel strategy to induce and control synchrony under resource constraints. We demonstrate our results analytically and in experiments with a network of Wien Bridge oscillators with internal frequencies being shuffled in time.
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