Applied Mathematical Sciences

Chaos, Fractals, and Noise

Stochastic Aspects of Dynamics

Authors: Lasota, Andrzej, Mackey, Michael C.

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About this Textbook

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.

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"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

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-1-4612-4286-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 93,59 €
price for Spain (gross)
Softcover 88,39 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Chaos, Fractals, and Noise
Book Subtitle
Stochastic Aspects of Dynamics
Authors
Series Title
Applied Mathematical Sciences
Series Volume
97
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-4286-4
DOI
10.1007/978-1-4612-4286-4
Hardcover ISBN
978-0-387-94049-6
Softcover ISBN
978-1-4612-8723-0
Series ISSN
0066-5452
Edition Number
2
Number of Pages
XIV, 474
Additional Information
Originally published by Cambridge University Press, Cambridge, 1985
Topics