Titlebook: Bounded Noises in Physics, Biology, and Engineering; Alberto d‘Onofrio Book 2013 Springer Science+Business Media New York 2013 Fokker-Plan

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e viscoelastic material is modelled using a fractional Kelvin–Voigt constitutive relation, which results in a stochastic fractional equation of motion. The method of stochastic averaging, together with the Fokker–Plank equation of the averaged Itô stochastic differential equation, is used to determi

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g. Because of uncertainty, the specification of these equations often requires probabilistic models to describe the uncertainty in input and/or system properties. Since the available information on input and system properties is typically limited, there may be more than one model that is consistent

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Dynamics of Systems with Randomly Disordered Periodic Excitationstions Calculus, thereby providing potential for analytical solution to dynamic problems where it represents the forcing function, or excitation. Thus, the corresponding method of moments had been applied to a linear system subject to external and parametric excitation with preliminary reduction of t

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Dynamical Systems Driven by Dichotomous Noisenction to be obtained analytically in one-dimensional differential models. It is used to describe the random switching between two deterministic dynamics and to investigate the effect of the noise correlation. This chapter describes the fundamental properties of the dichotomous noise and the main an