Titlebook: Random Perturbation Methods with Applications in Science and Engineering; Anatoli V. Skorokhod,Frank C. Hoppensteadt,Habib S Book 2002 Spr

轻弹

Dynamical Systems on a Torus,y, and it has numerous applications in science and engineering. In particular, this theory has important applications to phase-locked loop electronic circuits that are considered in the next chapter. This theory also plays an important role in the Kolmogorov-Arnol’d-Moser theory of oscillatory solut

北极人

Models in Population Biology,we consider several problems from genetics. In each case, we describe classical models for these phenomena and some useful results concerning their asymptotic behavior for large time. Then we describe how random noise perturbations can be included in these models, and we investigate the asymptotic b

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Feature

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打火石

0066-5452 easily accessible in the existing literature.Authors are onAs systems evolve, they are subjected to random operating environments. In addition, random errors occur in measurements of their outputs and in their design and fabrication where tolerances are not precisely met. This book develops methods

预防注射

Normal Deviations,havior of (..(.) - x̄(.))/.. as . → 0, where .. is a small scaling factor that is to be determined. If the scaled deviation is (asymptotically) a Gaussian random variable, which is plausible from the central limit theorem, we will say that the deviation is normal. As a rule, we can choose ..

咽下

Randomly Perturbed Mechanical Systems, case of a two-well potential function, which is the basis of binary quantum-mechanical devices, movement between the two states due to random fluctuations is of great interest. Such systems are difficult to study. We present in this chapter a method for studying these kinds of behaviors in two-dimensional systems that is based on graphs.

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Dynamical Systems on a Torus,ions to nonlinear systems. In the first part of the chapter we describe the theory as it was developed for flows that have no random elements. In the second part, we consider random perturbations of the same problems.

Condescending

Book 2002 design and fabrication where tolerances are not precisely met. This book develops methods for describing random dynamical systems, and it illustrates how the methods can be used in a variety of applications. The first half of the book concentrates on finding approximations to random processes using