Chaotic Dynamics and Fractals

Chaotic Dynamics and Fractals
Author :
Publisher : Academic Press
Total Pages : 305
Release :
ISBN-10 : 9781483269085
ISBN-13 : 1483269086
Rating : 4/5 (086 Downloads)

Book Synopsis Chaotic Dynamics and Fractals by : Michael F. Barnsley

Download or read book Chaotic Dynamics and Fractals written by Michael F. Barnsley and published by Academic Press. This book was released on 2014-05-10 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Chaotic Dynamics and Fractals Related Books

Chaotic Dynamics and Fractals
Language: en
Pages: 305
Authors: Michael F. Barnsley
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Academic Press

DOWNLOAD EBOOK

Chaotic Dynamics and Fractals covers the proceedings of the 1985 Conference on Chaotic Dynamics, held at the Georgia Institute of Technology. This conference de
Dynamics with Chaos and Fractals
Language: en
Pages: 233
Authors: Marat Akhmet
Categories: Mathematics
Type: BOOK - Published: 2020-01-01 - Publisher: Springer Nature

DOWNLOAD EBOOK

The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numeric
Chaotic Dynamics
Language: en
Pages: 419
Authors: Geoffrey R. Goodson
Categories: Mathematics
Type: BOOK - Published: 2017 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.
Chaotic and Fractal Dynamics
Language: en
Pages: 528
Authors: Francis C. Moon
Categories: Science
Type: BOOK - Published: 2008-11-20 - Publisher: John Wiley & Sons

DOWNLOAD EBOOK

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
Chaos, Fractals, and Noise
Language: en
Pages: 481
Authors: Andrzej Lasota
Categories: Mathematics
Type: BOOK - Published: 2013-11-27 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years,