Stochastic bifurcations in a single oscillator.

<p>(A) Probability distributions for and different values of (indicated in the figure). (B) The comparison of probability distributions for the Gillespie algorithm (red curves) and Langevin equations (black curves) calculated for and . (C) Stochastic bifurcation diagram in the − plane. The regions of the diagram are numerated according to the number of maxima of the probability distribution. Lines and stand for the stochastic bifurcations. The dashed vertical lines correspond to a tangent bifurcation (the left line) and the subcritical Hopf bifurcation (the right line) in the deterministic system.