Chaos, Fractals, and Noise

Stochastic Aspects of Dynamics

Andrzej Lasota, Michael C. Mackey

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English

Springer-Verlag New York Inc.
26 November 2013

Cybernetics & systems theory; Probability & statistics; Stochastics; Mathematical physics

Series: Applied Mathematical Sciences

"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 errors of the first edition, but also to add substantially new material in five sections and a new chapter."

By: Andrzej Lasota, Michael C. Mackey
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 2nd ed. 1994. Softcover reprint of the original 2nd ed. 1994
Volume: 97
Dimensions: Height: 235mm, Width: 155mm, Spine: 25mm
Weight: 747g
ISBN: 9781461287230
ISBN 10: 1461287235
Series: Applied Mathematical Sciences
Pages: 474
Publication Date: 26 November 2013
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics

"""This is a truly outstanding book. It is so well and carefully written that, despite the complexity of the subject matte and the difficulty of some of the mathematics, virtually everything is completely clear on a first reading. Indeed, the book is much more absorbing than most novels."" Probability in the Engineering + Informational Sciences"