Differential Effect of Delays and Network Topology on Temporal Pattern Formation

Abstract

We investigate the effects of transmission delays on the formation of temporally ordered states in networks of non-identical R\"ossler oscillators, having SWN topology. We show that incorporation of two different types of delay, length independent and length dependent, leads to dramatically different temporal properties of the network. In the first case formation of global random connections leads to increased temporal ordering, while in the second case it annihilates locally ordered clusters and forms a disordered state.