Two cases of parameter noise in the supercritical setting.

<p>Left column: Small noise variance, right column: Large noise variance. A: Supercritical Hopf bifurcation for <i>λ</i> = −4. The bifurcation parameter <i>β</i> is set to zero and perturbed at each integration time point with a mean reverting stochastic process, see <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002634#pcbi.1002634.e030" target="_blank">equation (5)</a>. Examples of the resulting temporal excursions of <i>β</i> are depicted green. Grey boxes indicate standard deviations of the stochastic process. B: Resulting time-series of . C: Corresponding PDF.</p>