Noise-induced phenomena: Effects of noises based on Tsallis statistics

H. S. WIO; R. R. DEZA

Bounded noises in Physics, Biology and Engineering

Birkhäuser

Lugar: Basilea; Año: 2013; p. 1 - 16

In this chapter, suitable tools are developed for dealing with the stochas- tic dynamics of nonlinear systems submitted to noises which are neither white nor Gaussian. These tools are then applied to some physical problems: • stochastic resonance, • Brownian motors, • resonant gated trapping, • noise-induced transition, which besides being highly relevant to biology and technology, are fine instances of the fact that in nonlinear systems, noise can—and hence does, often challenging our intuition—have highly nontrivial constructive effects. In the first three examples, the system’s response is either optimized (signal enhancement) or becomes more robust (spectral broadening) when the noise is non-Gaussian. In the last one, a shift of transition lines is observed, in the sense in which order is enhanced.