Department of Dynamics and Control, Beihang University, Beijing, China.
PLoS One. 2011 Jan 6;6(1):e15851. doi: 10.1371/journal.pone.0015851.
This paper investigates the dependence of synchronization transitions of bursting oscillations on the information transmission delay over scale-free neuronal networks with attractive and repulsive coupling. It is shown that for both types of coupling, the delay always plays a subtle role in either promoting or impairing synchronization. In particular, depending on the inherent oscillation period of individual neurons, regions of irregular and regular propagating excitatory fronts appear intermittently as the delay increases. These delay-induced synchronization transitions are manifested as well-expressed minima in the measure for spatiotemporal synchrony. For attractive coupling, the minima appear at every integer multiple of the average oscillation period, while for the repulsive coupling, they appear at every odd multiple of the half of the average oscillation period. The obtained results are robust to the variations of the dynamics of individual neurons, the system size, and the neuronal firing type. Hence, they can be used to characterize attractively or repulsively coupled scale-free neuronal networks with delays.
本文研究了在具有吸引和排斥耦合的无标度神经元网络上，突发振荡的同步跃迁对信息传递延迟的依赖性。结果表明，对于这两种类型的耦合，延迟总是在促进或破坏同步方面起着微妙的作用。具体来说，随着延迟的增加，个体神经元的固有振荡周期会间歇性地出现不规则和规则传播的兴奋性前导波的区域。这些由延迟引起的同步跃迁表现为时空同步度量中的明显最小值。对于吸引耦合，最小值出现在每个平均振荡周期的整数倍处，而对于排斥耦合，它们出现在每个平均振荡周期的一半的奇数倍处。所得结果对单个神经元的动力学、系统大小和神经元的发放类型的变化具有鲁棒性。因此，它们可用于表征具有延迟的吸引或排斥耦合的无标度神经元网络。
