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On the Role of Non Gaussian Noises on Noise Induced Phenomena

Wio, Horacio
Nonextensive Entropy--Interdisciplinary Applications, M. Gell-Mann and C. Tsallis, Eds. , Oxford U.P. 177-194 (2004)

Most of the studies on noise induced phenomena assume that the noise source is Gaussian (either white or colored). Here we present recent results on some of those noise induced phenomena when driven by a noise source taken as colored and non-Gaussian, generated by a nonextensive $q$-distribution. In all the cases analyzed we have found that the response of the system is strongly affected by a departure of the noise source from the Gaussian behavior, showing an enhancement and/or a marked broadening of the corresponding system´s response. The general result is that the value of the parameter $q$ optimizing the system's response results to be $q neq 1$ (where $q=1$ corresponds to a Gaussian distribution). These results are of great relevance for many technological applications, as well as for some situations of medical interest like the noisy control of Wenckebach rhythms.