A moment approach to non-Gaussian colored noise

The Langevin system subjected to non-Gaussian noise has been discussed, by using the second-order moment approach with the two models for generating the noise. We have derived the effective differential equation (DE) for a variable x, from which the stationary probability distribution P (x) has been calculated with the use of the Fokker-Planck equation. The result of P (x) calculated by the moment method is compared to several expressions obtained by different methods such as the universal colored noise approximation (UCNA) [Jung and Hänggi, Phys. Rev. A 35, 4464 (1987)] and the functional-integral method. It has been shown that our P (x) is in good agreement with that of direct simulation (DS). We have also discussed dynamics of the model with an external input, solving DEs in the moment method. PACS No. 05.40.Ca, 05.10.Gg, 05.10.-a Phone: +81-42-329-7482 Fax: +81-42-329-7491 E-mail: [email protected] E-mail address: [email protected]