The distinctive switching spikes seen in single memristors are suppressed in networks of memristors. Instead oscillatory behaviour interrrupted by spontaneous irregular bursting spike patterns are seen. An investigation of two and three memrisor circuits was undertaken to elucidate the origin of these rich dynamics. No spiking is seen in circuits where all the memristors face the same way. Spiking is seen in circuits where memristors are arranged anti-parallel. These dynamics may be due to chaos and are potentially useful for neuromorphic computing.