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Chaos, Fractals, and Noise

Stochastic Aspects of Dynamics

  • Textbook
  • © 1994
  • Latest edition


Part of the book series: Applied Mathematical Sciences (AMS, volume 97)

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Table of contents (12 chapters)


About this book

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.


"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

Authors and Affiliations

  • Institute of Mathematics, Silesian University, Katowice, Poland

    Andrzej Lasota

  • Center of Nonlinear Dynamics, McGill University, Montreal, Canada

    Michael C. Mackey

Bibliographic Information

  • Book Title: Chaos, Fractals, and Noise

  • Book Subtitle: Stochastic Aspects of Dynamics

  • Authors: Andrzej Lasota, Michael C. Mackey

  • Series Title: Applied Mathematical Sciences

  • DOI:

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1994

  • Hardcover ISBN: 978-0-387-94049-6Published: 22 October 1993

  • Softcover ISBN: 978-1-4612-8723-0Published: 26 November 2013

  • eBook ISBN: 978-1-4612-4286-4Published: 27 November 2013

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 2

  • Number of Pages: XIV, 474

  • Additional Information: Originally published by Cambridge University Press, Cambridge, 1985

  • Topics: Probability Theory and Stochastic Processes, Complex Systems, Statistical Physics and Dynamical Systems

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