Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics / Edition 2

by Andrzej Lasota, Michael C. Mackey

Overview

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 shastic 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.

Product Details

ISBN-13:	9780387940496
Publisher:	Springer New York
Publication date:	10/22/1993
Series:	Applied Mathematical Sciences , #97
Edition description:	2nd ed. 1994
Pages:	474
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Editorial Reviews

The revised edition of Probabilistic Properties of Deterministic Systems (Cambridge U. Press, 1985). A text-reference for physicists, chemists, and biomathematicians, which presents a unified treatment of a variety of mathematical systems that generate densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Examples are drawn from a variety of the sciences to illustrate the utility of the techniques presented. Assumes a knowledge of advanced calculus and differential equations. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"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

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