论文标题
Interlayer Hebbian可塑性在多重网络中引起一阶转变
Interlayer Hebbian Plasticity Induces First-Order Transition in Multiplex Networks
论文作者
论文摘要
适应在自然和人工复合体系的演变以及其功能性的确定中起着关键作用。在这里，我们研究了自适应间层过程对多路复用网络中层内同步的影响。所考虑的适应机制受HEBBIAN学习规则的控制，即，如果两个节点处于相相中，则增强了一对互连节点之间的链接权重。这种自适应耦合诱导不可逆的一阶过渡途径，伴随着滞后。我们为同步和DE同步的临界耦合强度提供了严格的分析预测，并通过广泛的数值模拟来验证我们的所有理论预测。
Adaptation plays a pivotal role in the evolution of natural and artificial complex systems, and in the determination of their functionality. Here, we investigate the impact of adaptive inter-layer processes on intra-layer synchronization in multiplex networks. The considered adaptation mechanism is governed by a Hebbian learning rule, i.e., the link weight between a pair of interconnected nodes is enhanced if the two nodes are in phase. Such adaptive coupling induces an irreversible first-order transition route to synchronization accompanied with a hysteresis. We provide rigorous analytic predictions of the critical coupling strengths for the onset of synchronization and de-synchronization, and verify all our theoretical predictions by means of extensive numerical simulations.
