Overview
- Authors:
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Andrzej Lasota
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Institute of Mathematics, Silesian University, Katowice, Poland
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Michael C. Mackey
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Center of Nonlinear Dynamics, McGill University, Montreal, Canada
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Table of contents (12 chapters)
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- Andrzej Lasota, Michael C. Mackey
Pages 1-15
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- Andrzej Lasota, Michael C. Mackey
Pages 17-36
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- Andrzej Lasota, Michael C. Mackey
Pages 37-50
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- Andrzej Lasota, Michael C. Mackey
Pages 51-84
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- Andrzej Lasota, Michael C. Mackey
Pages 85-137
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- Andrzej Lasota, Michael C. Mackey
Pages 139-188
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- Andrzej Lasota, Michael C. Mackey
Pages 189-249
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- Andrzej Lasota, Michael C. Mackey
Pages 251-281
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- Andrzej Lasota, Michael C. Mackey
Pages 283-301
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- Andrzej Lasota, Michael C. Mackey
Pages 303-334
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- Andrzej Lasota, Michael C. Mackey
Pages 335-392
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- Andrzej Lasota, Michael C. Mackey
Pages 393-447
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Back Matter
Pages 449-474
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.
Reviews
"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
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Institute of Mathematics, Silesian University, Katowice, Poland
Andrzej Lasota
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Center of Nonlinear Dynamics, McGill University, Montreal, Canada
Michael C. Mackey
