Dynamical analysis of synchronous oscillations and time delay induced synchronization transitions.

<p>(a) Dependence of oscillation period on time delay in synchronous region. (b) Time series of neurons 79 (shown by black curve), 78 and 80 (two neighboring neurons of 79, shown by green and yellow curves) and 42 (the LRD neuron of 79, shown by red curve) of <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0096415#pone-0096415-g003" target="_blank">Fig. 3(c)</a>. The blue dashed curve denotes time series of neuron 42 with time delay translation. The pink line indicates excitation threshold. The oscillation period is composed by time delay and excitation time . (c) The LRD proportion between adjacent intervals for different time delay (corresponding to <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0096415#pone-0096415-g003" target="_blank">Figs. 3(a)–(d)</a>). (d) Dependence of LRD proportion (10 samples for each , depicted by black dots) and (the average of for 10 samples, depicted by red dots) on time delay . The four distinct parameter regions can also be revealed by LRD proportion clearly.