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In this work, previous results concerning the infinitely many zeros of singlestochastic oscillators driven by random forces are extended to the generalclass of coupled stochastic oscillators. We focus on three main subjects: 1)the analysis of this oscillatory behavior for the case of coupled harmonicoscillators; 2) the identification of some classes of coupled nonlinearoscillators showing this oscillatory dynamics and 3) the capability of somenumerical integrators - thought as discrete dynamical systems - for reproducingthe infinitely many zeros of coupled harmonic oscillators driven by randomforces.

The infinitely many zeros of stochastic coupled oscillators driven by random forces