Synchronization Transitions of Small-World Neuronal Networks.

We examine synchronization transitions and patter formation in dependence on the information transmission delay on small-world networks of Morris-Lecar excitable neurons. For the gap junctional coupling, we show that short delays can induce zigzag fronts of excitations, whereas long delays can further detriment synchrony in the network due to a dynamic clustering anti-phase synchronization transition. On the other hand, within the large delay region, which is characterized by anti-phase synchronization and clustering, differences in the network topology do not notably affect the synchrony of neuronal activity. [ABSTRACT FROM AUTHOR]