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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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楼主: GERM
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Topical Problems of Laser Crystal Physicsdensity functions. Two models are presented for the purpose: the randomized harmonic model and the nonlinear filter model. In the randomized harmonic model, a random noise is introduced in the phase angle; while in the nonlinear filter model, a set of nonlinear Ito differential equations are employe
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https://doi.org/10.1007/978-1-4684-3375-3tions 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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nction 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
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he same correlation function: Ornstein–Uhlenbeck process, telegraphic process and sine-Wiener process. Efficient numerical procedures are introduced for obtaining energetic stability diagrams for such cases of random parameter.
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onents relevant to NGCN, we have derived the effective Langevin equation, from which the stationary distribution function is obtained.A comparison is made among results of the MM, universal colored noise approximation, functional integral methods, and direct simulations (DSs). Numerical calculations
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f implementing the random dynamics, namely the dynamics of random uncorrelated noise and the dynamics of random maps. We discuss some applications in scattering and in escaping from attracting sets. As we shall see, the perturbations may dramatically change the asymptotic behaviour of these systems.
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