Synchronization of inhibitory pulse-coupled oscillators in delayed random and line networks

In a system of pulse-coupled oscillators with delays, inhibitory coupling assures synchronization and convergence if the oscillators are fully connected. This paper investigates inhibitory coupling in non-fully-connected networks by means of simulation. First, we show that an existing inhibitory coupling scheme does not perform well in random networks. Second, we propose a simple modification, which tends to improve the synchronizing behavior of inhibitory coupling.