CORRELATION RESONANCE IN NOISE-DRIVEN COUPLED NONLINEAR OSCILLATORS

Mutual correlation between a pair of coupled limit-cycle oscillators d riven by external noise is analytically and numerically studied under the assumption that those oscillators are nearly identical and weakly coupled so that phase reduction is possible. For such a case that the oscillators cannot entrain each other in the absence of noise, the cor relation is enhanced by noise in a range of its intensity starting fro m zero and then enfeebled beyond that range. This resonance-like pheno menon, named correlation resonance, is theoretically explained and the n demonstrated for coupled time-dependent Ginzburg-Landau equations, c oupled Brusselators, and coupled Mackey-Glass equations as examples. A ll these results suggest that the resonance is a fairly robust phenome non. The case of mutually entrained oscillators is also discussed.