Periodicity enhancement of two-mode stochastic oscillators in a CNN type architecture

Abstract

Two-mode stochastic oscillators coupled through a simple optimization dynamics exhibit interesting and novel collective behavior. Previous studies have shown that for a global coupling, apart of synchronization, a puzzling enhancement in the periodicity level of the global output can be achieved. Here we show that a locally coupled system which resembles a CNN-type architecture of the elementary units, is similarly able to exhibit synchronization for a given parameter range. Moreover, the resulting enhancement in the periodicity for a 2D lattice topology of the oscillatory units proves again to be significant. The system composed by non-perfect oscillators generates thus a perfectly periodic signal. An experimental realization of the system gives confidence in the numerical simulation results.