STOCHASTIC RESONANCE IN GLOBALLY COUPLED NONLINEAR OSCILLATORS

We consider a network of N globally coupled nonlinear overdamped oscillators subject to Langevin noise and a weak periodic modulation. Assuming that one of the oscillators relaxes to its steady state on a time scale far slower than the remaining oscillators in the network, we obtain its dynamics from the coupled stochastic differential equations describing the system, via adiabatic elimination. The bifurcation properties of this ''reduced oscillator'' model are discussed, together with cooperative stochastic effects (e.g., stochastic resonance) that result from the presence of the modulation.