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The rate of metastable decay in nonequilibrium systems is expected to displayscaling behavior: i.e., the logarithm of the decay rate should scale as a powerof the distance to a bifurcation point where the metastable state disappears.Recently such behavior was observed and some of the earlier predicted exponentswere found in experiments on several types of systems described by a model of amodulated oscillator. Here we establish the range where different scalingbehavior is displayed and show how the crossover between different types ofscaling occurs. The analysis is done for a nonlinear oscillator with twocoexisting stable states of forced vibrations. Our numerical calculations,based on the the instanton method allow the mapping of the entire parameterrange of bi-stability. We find the regions where the scaling exponents are 1 or3/2, depending on the damping. The exponent 3/2 is found to extend much furtherfrom the bifurcation then were it would be expected to hold as a result of anover-damped soft mode. We also uncover a new scaling behavior with exponent of$\approx$ 1.3 which extends, numerically, beyond the close vicinity of thebifurcation point.

Scaling crossovers in activated escape of nonequilibrium systems: a resonantly driven oscillator