Chaotic And Fractal Dynamics
DOWNLOAD
Download Chaotic And Fractal Dynamics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Chaotic And Fractal Dynamics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Chaotic And Fractal Dynamics
DOWNLOAD
Author : Francis C. Moon
language : en
Publisher: John Wiley & Sons
Release Date : 2008-11-20
Chaotic And Fractal Dynamics written by Francis C. Moon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-20 with Science categories.
A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids. Major changes reflect the latest developments in this fast-moving topic, the introduction of problems to every chapter, additional mathematics and applications, more coverage of fractals, numerous computer and physical experiments. Contains eight pages of 4-color pictures.
Chaotic And Fractal Dynamics
DOWNLOAD
Author : F. C. Moon
language : en
Publisher: Wiley-Interscience
Release Date : 1992
Chaotic And Fractal Dynamics written by F. C. Moon and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids. Major changes reflect the latest developments in this fast-moving topic, the introduction of problems to every chapter, additional mathematics and applications, more coverage of fractals, numerous computer and physical experiments. Contains eight pages of 4-color pictures.
Chaos Fractals And Dynamics
DOWNLOAD
Author : P. Fischer
language : en
Publisher: CRC Press
Release Date : 2020-11-25
Chaos Fractals And Dynamics written by P. Fischer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Mathematics categories.
This book contains eighteen papers, all more-or-less linked to the theory of dynamical systems together with related studies of chaos and fractals. It shows many fractal configurations that were generated by computer calculations of underlying two-dimensional maps.
Dynamics With Chaos And Fractals
DOWNLOAD
Author : Marat Akhmet
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
Dynamics With Chaos And Fractals written by Marat Akhmet and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Mathematics categories.
The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.
Chaotic Dynamics And Fractals
DOWNLOAD
Author : Michael F. Barnsley
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Chaotic Dynamics And Fractals written by Michael F. Barnsley and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Chaotic Dynamics and Fractals covers the proceedings of the 1985 Conference on Chaotic Dynamics, held at the Georgia Institute of Technology. This conference deals with the research area of chaos, dynamical systems, and fractal geometry. This text is organized into three parts encompassing 16 chapters. The first part describes the nature of chaos and fractals, the geometric tool for some strange attractors, and other complicated sets of data associated with chaotic systems. This part also considers the Henon-Hiles Hamiltonian with complex time, a Henon family of maps from C2 into itself, and the idea of turbulent maps in the course of presenting results on iteration of continuous maps from the unit interval to itself. The second part discusses complex analytic dynamics and associated fractal geometry, specifically the bursts into chaos, algorithms for obtaining geometrical and combinatorial information, and the parameter space for iterated cubic polynomials. This part also examines the differentiation of Julia sets with respects to a parameter in the associated rational map, permitting the formulation of Taylor series expansion for the sets. The third part highlights the applications of chaotic dynamics and fractals. This book will prove useful to mathematicians, physicists, and other scientists working in, or introducing themselves to, the field.
Fractals And Chaos
DOWNLOAD
Author : Paul S. Addison
language : en
Publisher: CRC Press
Release Date : 1997-01-01
Fractals And Chaos written by Paul S. Addison and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Science categories.
Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.
Chaos Fractals And Noise
DOWNLOAD
Author : Andrzej Lasota
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Chaos Fractals And Noise written by Andrzej Lasota and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.
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 Dynamics And Fractals
DOWNLOAD
Author : Joseph L. McCauley
language : en
Publisher: Cambridge University Press
Release Date : 1994-05-26
Chaos Dynamics And Fractals written by Joseph L. McCauley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-26 with Science categories.
This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.
Encounters With Chaos And Fractals
DOWNLOAD
Author : Denny Gulick
language : en
Publisher:
Release Date : 2012
Encounters With Chaos And Fractals written by Denny Gulick and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Chaotic behavior in systems categories.
"PREFACE The far-reaching interest in chaos and fractals are outgrowths of the computer age. On the one hand, the notion of chaos is related to dynamics, or behavior, of physical systems. On the other hand, fractals are related to geometry, and appear as delightful but in nitely complex shapes on the line, in the plane or in space. Encounters with Chaos and Fractals is designed to give an introduction both to chaotic dynamics and to fractal geometry. During the past fty years the topics of chaotic dynamics and fractal geometry have become increasingly popular. Applications have extended to disciplines as diverse an electric circuits, weather prediction, orbits of satellites, chemical reactions, analysis of cloud formations and complicated coast lines, and the spread of disease. A fundamental reason for this popularity is the power of the computer, with its ability to produce complex calculations, and to create fascinating graphics. The computer has allowed scientists and mathematicians to solve problems in chaotic dynamics that hitherto seemed intractable, and to analyze scienti c data that in earlier times appeared to be either random or awed. Fractals, on the other hand, are basically geometric, but depend on many of the same mathematical properties that chaotic dynamics do. Mathematics lies at the foundation of chaotic dynamics and fractals. The very concepts that describe chaotic behavior and fractal graphs are mathematical in nature, whether they be analytic, geometric, algebraic or probabilistic. Some of these concepts are elementary, others are sophisticated. There are many books that discuss chaos and fractals in an expository manner, as there are treatises on chaos theory and fractal geometry written at the graduate level"--
Chaotic Dynamics
DOWNLOAD
Author : Geoffrey R. Goodson
language : en
Publisher: Cambridge University Press
Release Date : 2017
Chaotic Dynamics written by Geoffrey R. Goodson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.