Maximum of the stationary distribution

The correlation time is 8, where 8 is the single parameter to measure the deviation from the white noise situation. The robustness of white-noise-induced phenomena, at least for small correlation time, are verified by this perturbation expansion method. Slightly different results were obtained by Sancho et al. (1982). They studied the qualitative properties of the stationary distribution as a function of the intensity and correlation time of the noise. Two results of their experiments on an electric circuit with a digital noise generator were not in accordance with the white noise limit theory (i) for higher noise intensity the stationary distribution might be bimodal even for rather small correlation time (ii) the location of the maximum of the stationary distribution depends on the noise characteristics. 

The graphical solution of the transcendental equation (2.130) leads to only one possible solution x for arbitrary 6, when 0 < ir < 1. This solution corresponds to the maximum of the stationary distribution Pst (x). On the other hand... 

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