The paper considers a network with many apparently-independent periodi
c processes and discusses one method by which these processes can inad
vertently become synchronized. In particular, we study the synchroniza
tion of periodic routing messages, and offer guidelines on how to avoi
d inadvertent synchronization. Using simulations and analysis, we stud
y the process of synchronization and show that the transition from uns
ynchronized to synchronized traffic is not one of gradual degradation
but is instead a very abrupt 'phase transition': in general, the addit
ion of a single router will convert a completely unsynchronized traffi
c stream into a completely synchronized one. We show that synchronizat
ion can be avoided by the addition of randomization to the traffic sou
rces and quantify how much randomization is necessary. In addition, we
argue that the inadvertent synchronization of periodic processes is l
ikely to become an increasing problem in computer networks.