The research reported in this paper focuses on the response of identical discrete-time neural oscillators to a random telegraph signal input. It is shown that there are well-defined domains in which the random input can synchronize even a large population of oscillators within a few hundred steps. The presence of chaos is shown to be essential for the synchronization, which suggests a possible role for chaos in spatially extended physical systems. The effect of independent noise on the system is also studied.

• Received 18 July 1997

DOI:https://doi.org/10.1103/PhysRevE.57.1559