Two cases of parameter noise in the supercritical setting.

Left column: Small noise variance, right column: Large noise variance. A: Supercritical Hopf bifurcation for λ = −4. The bifurcation parameter β is set to zero and perturbed at each integration time point with a mean reverting stochastic process, see equation (5). Examples of the resulting temporal excursions of β are depicted green. Grey boxes indicate standard deviations of the stochastic process. B: Resulting time-series of . C: Corresponding PDF.