CHAOTIC AND FRACTAL DYNAMICS

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Chaotic And Fractal Dynamics

Author : F. C. Moon
ISBN : 0471545716
Genre : Science
File Size : 46.95 MB
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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.
Category: Science

Chaotic And Fractal Dynamics

Author : Francis C. Moon
ISBN : 9783527617517
Genre : Science
File Size : 31.65 MB
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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.
Category: Science

Problems And Solutions

Author : Willi-Hans Steeb
ISBN : 9789813109940
Genre : Science
File Size : 88.54 MB
Format : PDF
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This book presents a collection of problems for nonlinear dynamics, chaos theory and fractals. Besides the solved problems, supplementary problems are also added. Each chapter contains an introduction with suitable definitions and explanations to tackle the problems. The material is self-contained, and the topics range in difficulty from elementary to advanced. While students can learn important principles and strategies required for problem solving, lecturers will also find this text useful, either as a supplement or text, since concepts and techniques are developed in the problems.
Category: Science

Chaos Fractals And Dynamics

Author : Robert L. Devaney
ISBN : 020123288X
Genre : Mathematics
File Size : 74.83 MB
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Introduces the mathematical topics of chaos, fractals, and dynamics using a combination of hands-on computer experimentation and precalculas mathmetics. A series of experiments produce fascinating computer graphics images of Julia sets, the Mandelbrot set, and fractals. The basic ideas of dynamics--chaos, iteration, and stability--are illustrated via computer projects.
Category: Mathematics

Chaos Fractals And Dynamics

Author : Fischer
ISBN : 082477325X
Genre : Science
File Size : 75.99 MB
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This timely work focuses on the recent expansion of research in the field of dynamical systems theory with related studies of chaos and fractals. Integrating the work of leading mathematicians, physicists, chemists, and engineers, this research-level monograph discusses different aspects of the concepts of chaos and fractals from both experimental and theoretical points of view. Featuring the most recent advances-including findings made possible by the development of digital computers-this authoritative work provides thorough understanding of known behavior of nonlinear dynamical systems as well as considerable insight into complex aspects not yet well understood. With a broad, multidisciplinary perspective and an ample supply of literature citations, Chaos, Fractals, and Dynamics is an invaluable reference and starting point for further research for scientists in all fields utilizing dynamical systems theory, including applied mathematicians, physicists, dynamists, chemists, biomathematicians, and graduate students in these areas. Book jacket.
Category: Science

Chaotic Dynamics

Author : Geoffrey R. Goodson
ISBN : 9781107112674
Genre : Mathematics
File Size : 23.91 MB
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This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.
Category: Mathematics

Chaotic Maps

Author : Goong Chen
ISBN : 9781598299144
Genre : Mathematics
File Size : 71.52 MB
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This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional spaces. The topics include one-dimensional dynamical systems (interval maps), bifurcations, general topological, symbolic dynamical systems, fractals and a class of infinite-dimensional dynamical systems which are induced by interval maps, plus rapid fluctuations of chaotic maps as a new viewpoint developed by the authors in recent years. Two appendices are also provided in order to ease the transitions for the readership from discrete-time dynamical systems to continuous-time dynamical systems, governed by ordinary and partial differential equations. Table of Contents: Simple Interval Maps and Their Iterations / Total Variations of Iterates of Maps / Ordering among Periods: The Sharkovski Theorem / Bifurcation Theorems for Maps / Homoclinicity. Lyapunoff Exponents / Symbolic Dynamics, Conjugacy and Shift Invariant Sets / The Smale Horseshoe / Fractals / Rapid Fluctuations of Chaotic Maps on RN / Infinite-dimensional Systems Induced by Continuous-Time Difference Equations
Category: Mathematics

Chaotic Vibrations

Author : F. C. Moon
ISBN : 0471856851
Genre : Science
File Size : 90.30 MB
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Very Good,No Highlights or Markup,all pages are intact.
Category: Science

Problems And Solutions

Author : W.-H. Steeb
ISBN : 9813109920
Genre : Chaotic behavior in systems
File Size : 40.21 MB
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One-dimensional maps -- Higher-dimensional maps and complex maps -- Fractals
Category: Chaotic behavior in systems

Chaos Fractals And Noise

Author : Andrzej Lasota
ISBN : 9781461242864
Genre : Mathematics
File Size : 57.44 MB
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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.
Category: Mathematics