Aravind Manaoj, Pachaulee Vaibhav, Sarkar Mrinal, Tiwari Ishant, Gupta Shamik, Parmananda P
Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India.
Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 19, D-69120 Heidelberg, Germany.
Phys Rev E. 2024 May;109(5):L052302. doi: 10.1103/PhysRevE.109.L052302.
A wide variety of engineered and natural systems are modeled 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.
各种各样的工程系统和自然系统都被建模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并非随时间恒定不变。在此，我们通过Kuramoto模型来探究这种时间异质性对耦合振荡器网络的影响。为此，我们以随机或固定的时间间隔在振荡器之间反复打乱固有频率。结果发现了一个显著的效应，即频繁打乱会促使振荡器相位之间的同步在更早的时候（即在较低耦合时）出现。我们的研究提供了一种在资源受限情况下诱导和控制同步的新策略。我们通过理论分析以及对内部频率随时间被打乱的维恩桥振荡器网络进行实验来证明我们的结果。
