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Item Details
Title: CHAOS, FRACTALS, AND NOISE
STOCHASTIC ASPECTS OF DYNAMICS
By: Andrzej Lasota, Michael C. Mackey
Format: Hardback

List price: £79.99


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ISBN 10: 0387940499
ISBN 13: 9780387940496
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 1 April, 1998
Edition: 2nd ed. 1994. Corr. 3rd printing 1998
Series: Applied Mathematical Sciences 97
Pages: 474
Description: This book offers a unified treatment of a variety of mathematical systems generating densities, from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Includes numerous examples.
Synopsis: 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.
Illustrations: XIV, 474 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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