论文标题
在不可驱行的单元的自适应网络中的紧急兴奋性
Emergent excitability in adaptive networks of non-excitable units
论文作者
论文摘要
大量耦合元素集合中的人口爆发是由于节点的局部兴奋性能与全球网络拓扑之间的相互作用所致。在这里，集体兴奋性和自我维持的爆发振荡被证明是在全球耦合的非脱离单元的自适应网络中自发出现的。观察集体兴奋性的成分是具有不同程度同步的状态的共存，以缓慢的时间尺度与振荡器的同步（DESNCHRONIANIAD）相连。这些机制用于两个范式类别的耦合旋转器类别：即有和没有惯性的库拉莫托模型。对于双峰库拉莫托模型，我们分析表明，宏观进化起源于临界流形的存在，该临界歧管在缓慢的时间范围内组织了快速的集体动力学。我们的结果提供了证据表明，适应可以通过永久平衡的网络来诱发兴奋性。
Population bursts in a large ensemble of coupled elements result from the interplay between the local excitable properties of the nodes and the global network topology. Here collective excitability and self-sustained bursting oscillations are shown to spontaneously emerge in adaptive networks of globally coupled non-excitable units. The ingredients to observe collective excitability are the coexistence of states with different degree of synchronizaton joined to a global feedback acting, on a slow timescale, against the synchronization (desynchronization) of the oscillators. These regimes are illustrated for two paradigmatic classes of coupled rotators: namely, the Kuramoto model with and without inertia. For the bimodal Kuramoto model we analytically show that the macroscopic evolution originates from the existence of a critical manifold organizing the fast collective dynamics on a slow timescale. Our results provide evidence that adaptation can induce excitability by maintaining a network permanently out-of-equilibrium.
