Synchronization on fast and slow dynamics in drive-response systems

Two types of synchronization, Achronal synchronization and Isochronous synchronization, are investigated numerically when unidirectionally coupled laser systems are considered both on fast and slow dynamics by studying the correlation function. Although the synchronization behaviors are found to be separated on relatively fast dynamics of chaotic fluctuations while blended together on slow dynamics of dropout events, their main features revealed are in good agreement, which most probably suggests that the observation based on detections on slow dynamics is of importance when it is the only choice as detection on fast dynamics is usually extremely hard to be done.