Chaos in Systems with Noise PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Chaos in Systems with Noise PDF full book. Access full book title Chaos in Systems with Noise by Tomasz Kapitaniak. Download full books in PDF and EPUB format.
Author: Tomasz Kapitaniak
Publisher: World Scientific
ISBN: 9789810204105
Category : Science
Languages : en
Pages : 256
Get Book Here
Book Description
As in the first edition, the influence of random noise on the chaotic behavior of dissipative dynamical systems is investigated. Problems are illustrated by mechanical examples. This revised and updated edition contains new sections on the summary of probability theory, homoclinic chaos, Melnikov method, routes to chaos, stabilization of period-doubling, and Hopf bifurcation by noise. Some chapters have been rewritten and new examples have been added.
Author: Tomasz Kapitaniak
Publisher: World Scientific
ISBN: 9789810204105
Category : Science
Languages : en
Pages : 256
Get Book Here
Book Description
As in the first edition, the influence of random noise on the chaotic behavior of dissipative dynamical systems is investigated. Problems are illustrated by mechanical examples. This revised and updated edition contains new sections on the summary of probability theory, homoclinic chaos, Melnikov method, routes to chaos, stabilization of period-doubling, and Hopf bifurcation by noise. Some chapters have been rewritten and new examples have been added.
Author: Andrzej Lasota
Publisher: Springer Science & Business Media
ISBN: 146124286X
Category : Mathematics
Languages : en
Pages : 481
Get Book Here
Book Description
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.
Author: E. Roy Pike
Publisher: CRC Press
ISBN: 1000156915
Category : Mathematics
Languages : en
Pages : 282
Get Book Here
Book Description
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.
Author: Francis C.M. Lau
Publisher: Springer Science & Business Media
ISBN: 9783540006022
Category : Computers
Languages : en
Pages : 244
Get Book Here
Book Description
One of the first books in this area, this text focuses on important aspects of the system operation, analysis and performance evaluation of selected chaos-based digital communications systems – a hot topic in communications and signal processing.
Author: Luigi A. Lugiato
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 230
Get Book Here
Book Description
Author: Guanrong Chen
Publisher: World Scientific
ISBN: 9814488704
Category : Technology & Engineering
Languages : en
Pages : 656
Get Book Here
Book Description
In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this field. It is suitable for readers ranging from graduate students, university professors, laboratory researchers and industrial practitioners to applied mathematicians and physicists in electrical, electronic, mechanical, physical, chemical and biomedical engineering and science.
Author: Thomas S. Parker
Publisher: Springer Science & Business Media
ISBN: 1461234867
Category : Science
Languages : en
Pages : 354
Get Book Here
Book Description
One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions.
Author: F. Moss
Publisher: Cambridge University Press
ISBN: 9780521384179
Category : Science
Languages : en
Pages : 0
Get Book Here
Book Description
Author: F. Moss
Publisher: Cambridge University Press
ISBN: 9780521384179
Category : Science
Languages : en
Pages : 328
Get Book Here
Book Description
Author: Tomasz Kapitaniak
Publisher:
ISBN:
Category : Chaotic behavior in systems
Languages : en
Pages : 85
Get Book Here
Book Description
