布尔相位振子网络中嵌合态的瞬态标度和复活
Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators
摘要：
我们研究网络的非本地耦合的电子振荡器，可以近似描述的Kuramoto模型。实验网络显示出从随机初始条件到网络同步的长时间复杂瞬态。瞬态表现出复杂的行为，包括嵌合体状态的复苏，这是有序和无序共存的网络动力学。嵌合体状态的空间域在网络中移动，并与非线性动力学交替。我们的振荡器的快速时标（大约为$100\;\mathrm{ns}$）使我们能够研究超过100个节点的大型网络的瞬态时间的缩放，这在以前的实验中尚未得到证实，并且可能在许多自然网络中很重要。我们发现，平均瞬态时间随网络规模呈指数增长，并可以建模为一个泊松过程在实验和仿真。这种指数缩放是遵循相空间体积的幂律的同步速率的结果。
英文摘要：
We study networks of non-locally coupled electronic oscillators that can be described approximately by a Kuramoto-like model. The experimental networks show long complex transients from random initial conditions on the route to network synchronization. The transients display complex behaviors, including resurgence of chimera states, which are network dynamics where order and disorder coexists. The spatial domain of the chimera state moves around the network and alternates with desynchronized dynamics. The fast timescale of our oscillators (on the order of $100\;\mathrm{ns}$) allows us to study the scaling of the transient time of large networks of more than a hundred nodes, which has not yet been confirmed previously in an experiment and could potentially be important in many natural networks. We find that the average transient time increases exponentially with the network size and can be modeled as a Poisson process in experiment and simulation. This exponential scaling is a result of a synchronization rate that follows a power law of the phase-space volume.
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