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Chaos, Noise and Fractals

2020-08-27 Mathematics
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Release : 2020-08-27
Genre : Mathematics
Kind : eBook
Book Rating : 915/5 ( reviews)

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Book Synopsis Chaos, Noise and Fractals by : E. Roy Pike

Download or read book Chaos, Noise and Fractals written by E. Roy Pike. This book was released on 2020-08-27. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonlinear dynamical systems has been gathering momentum since the late 1950s. It now constitutes one of the major research areas of modern theoretical physics. The twin themes of fractals and chaos, which are linked by attracting sets in chaotic systems that are fractal in structure, are currently generating a great deal of excitement. The degree of structure robustness in the presence of stochastic and quantum noise is thus a topic of interest. Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos. The book represents a balanced overview of the field and is a worthy addition to the reading lists of researchers and students interested in any of the varied, and sometimes bizarre, aspects of this intriguing subject.

Chaos, Fractals, and Noise

2013-11-27 Mathematics
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Release : 2013-11-27
Genre : Mathematics
Kind : eBook
Book Rating : 86X/5 ( reviews)

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Book Synopsis Chaos, Fractals, and Noise by : Andrzej Lasota

Download or read book Chaos, Fractals, and Noise written by Andrzej Lasota. This book was released on 2013-11-27. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chaos, Noise and Fractals

2020-08-26 Mathematics
Download Chaos, Noise and Fractals PDF Online Free

Author :
Release : 2020-08-26
Genre : Mathematics
Kind : eBook
Book Rating : 101/5 ( reviews)

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Book Synopsis Chaos, Noise and Fractals by : E. Roy Pike

Download or read book Chaos, Noise and Fractals written by E. Roy Pike. This book was released on 2020-08-26. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonlinear dynamical systems has been gathering momentum since the late 1950s. It now constitutes one of the major research areas of modern theoretical physics. The twin themes of fractals and chaos, which are linked by attracting sets in chaotic systems that are fractal in structure, are currently generating a great deal of excitement. The degree of structure robustness in the presence of stochastic and quantum noise is thus a topic of interest. Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos. The book represents a balanced overview of the field and is a worthy addition to the reading lists of researchers and students interested in any of the varied, and sometimes bizarre, aspects of this intriguing subject.

Chaos, Fractals, and Noise

2014-09-01
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Release : 2014-09-01
Genre :
Kind : eBook
Book Rating : 871/5 ( reviews)

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Book Synopsis Chaos, Fractals, and Noise by : Andrzej Lasota

Download or read book Chaos, Fractals, and Noise written by Andrzej Lasota. This book was released on 2014-09-01. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Fractals and Chaos

2013-11-11 Computers
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Release : 2013-11-11
Genre : Computers
Kind : eBook
Book Rating : 970/5 ( reviews)

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Book Synopsis Applications of Fractals and Chaos by : A.J. Crilly

Download or read book Applications of Fractals and Chaos written by A.J. Crilly. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Fractals and Chaos presents new developments in this rapidlydeveloping subject area. The presentation is more than merely theoretical, it specifically presents particular applications in a wide range of applications areas. Under the oceans, we consider the ways in which sponges and corals grow; we look, too, at the stability of ships on their surfaces. Land itself is modelled and applications to art, medicineand camouflage are presented. Readers should find general interest in the range of areas considered and should also be able to discover methods of value for their own specific areas of interest from studying the structure of related activities.

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