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Titlebook: Chaos, Fractals, and Noise; Stochastic Aspects o Andrzej Lasota,Michael C. Mackey Textbook 1994Latest edition Springer Science+Business Med

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书目名称Chaos, Fractals, and Noise
副标题Stochastic Aspects o
编辑Andrzej Lasota,Michael C. Mackey
视频videohttp://file.papertrans.cn/224/223908/223908.mp4
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Chaos, Fractals, and Noise; Stochastic Aspects o Andrzej Lasota,Michael C. Mackey Textbook 1994Latest edition Springer Science+Business Med
描述The first edition of this book was originally published in 1985 under the ti­ tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma­ turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe­ nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the error
出版日期Textbook 1994Latest edition
关键词Ergodic theory; Markov process; Probability theory; measure theory; partial differential equation
版次2
doihttps://doi.org/10.1007/978-1-4612-4286-4
isbn_softcover978-1-4612-8723-0
isbn_ebook978-1-4612-4286-4Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1994
The information of publication is updating

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Introduction Limiting the Postmodern,rtant ramifications in ergodic theory. However, the Boltzmann entropy is different from the Kolmogorov-Sinai-Ornstein entropy [Walters, 1975; Parry, 1981] that has been so successfully used in solving the problem of isomorphism of dynamical systems, and which is related to the work of Shannon [see Shannon and Weaver, 1949].
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Modern Dance and the Modernist Work,examination of its properties as a means of studying the asymptotic properties of flows of densities. The second resulted from the random application of a transformation . to a system and led naturally to our study of the linear Boltzmann equations.
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Entropy,rtant ramifications in ergodic theory. However, the Boltzmann entropy is different from the Kolmogorov-Sinai-Ornstein entropy [Walters, 1975; Parry, 1981] that has been so successfully used in solving the problem of isomorphism of dynamical systems, and which is related to the work of Shannon [see Shannon and Weaver, 1949].
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Stochastic Perturbation of Discrete Time Systems,examination of its properties as a means of studying the asymptotic properties of flows of densities. The second resulted from the random application of a transformation . to a system and led naturally to our study of the linear Boltzmann equations.
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