Chaos Bifurcations And Fractals Around Us PDF Download
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Author | : Wanda Szempli?ska-Stupnicka |
Publisher | : World Scientific |
Total Pages | : 118 |
Release | : 2003 |
Genre | : Business & Economics |
ISBN | : 9789812564375 |
Download Chaos Bifurcations and Fractals Around Us Book in PDF, ePub and Kindle
During the last twenty years, a large number of books on nonlinearchaotic dynamics in deterministic dynamical systems haveappeared. These academic tomes are intended for graduate students andrequire a deep knowledge of comprehensive, advanced mathematics.
Author | : Steven H. Strogatz |
Publisher | : CRC Press |
Total Pages | : 532 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 0429961111 |
Download Nonlinear Dynamics and Chaos Book in PDF, ePub and Kindle
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author | : Paul S. Addison |
Publisher | : CRC Press |
Total Pages | : 276 |
Release | : 1997-01-01 |
Genre | : Science |
ISBN | : 9780849384431 |
Download Fractals and Chaos Book in PDF, ePub and Kindle
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.
Author | : David P. Feldman |
Publisher | : Oxford University Press, USA |
Total Pages | : 432 |
Release | : 2012-08-09 |
Genre | : Mathematics |
ISBN | : 0199566445 |
Download Chaos and Fractals Book in PDF, ePub and Kindle
For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.
Author | : Eleonora Bilotta |
Publisher | : World Scientific |
Total Pages | : 607 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812790624 |
Download A Gallery of Chua Attractors Book in PDF, ePub and Kindle
Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua's oscillator (1986) — a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua's circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce.This book aims to bridge the gap. A gallery of nearly 900 “chaotic attractors” — some generated by Chua's physical circuit, the majority through computer simulation of the circuit and its generalizations — are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book.The contents have also appeared in the International Journal of Bifurcation and Chaos (2007).
Author | : P. Fischer |
Publisher | : CRC Press |
Total Pages | : 282 |
Release | : 2020-11-26 |
Genre | : Mathematics |
ISBN | : 100015422X |
Download Chaos, Fractals, and Dynamics Book in PDF, ePub and Kindle
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.
Author | : A.J. Crilly |
Publisher | : Springer Science & Business Media |
Total Pages | : 278 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461230349 |
Download Fractals and Chaos Book in PDF, ePub and Kindle
This volume is based upon the presentations made at an international conference in London on the subject of 'Fractals and Chaos'. The objective of the conference was to bring together some of the leading practitioners and exponents in the overlapping fields of fractal geometry and chaos theory, with a view to exploring some of the relationships between the two domains. Based on this initial conference and subsequent exchanges between the editors and the authors, revised and updated papers were produced. These papers are contained in the present volume. We thank all those who contributed to this effort by way of planning and organisation, and also all those who helped in the production of this volume. In particular, we wish to express our appreciation to Gerhard Rossbach, Computer Science Editor, Craig Van Dyck, Production Director, and Nancy A. Rogers, who did the typesetting. A. J. Crilly R. A. Earnshaw H. Jones 1 March 1990 Introduction Fractals and Chaos The word 'fractal' was coined by Benoit Mandelbrot in the late 1970s, but objects now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot's definition-"a set whose Hausdorff dimension is not an integer" -is clear in mathematical terms. In addition, related concepts are those of self-similarity and sub-divisibility. A fractal object is self-similar in that subsections of the object are similar in some sense to the whole object.
Author | : Tian Ma |
Publisher | : World Scientific |
Total Pages | : 392 |
Release | : 2005 |
Genre | : Science |
ISBN | : 9812562877 |
Download Bifurcation Theory and Applications Book in PDF, ePub and Kindle
- Provides a comprehensive and intuitive review of existing bifurcation theories - New theories for bifurcations from eigenvalues with even multiplicity - General recipes for applications
Author | : Ricardo Chac¢n |
Publisher | : World Scientific |
Total Pages | : 240 |
Release | : 2005 |
Genre | : Science |
ISBN | : 9812380426 |
Download Control of Homoclinic Chaos by Weak Periodic Perturbations Book in PDF, ePub and Kindle
This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppression?enhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems. The theory provides analytical estimates of the ranges of parameters of the chaos-controlling excitation for suppression?enhancement of the initial chaos.The important applications of the theory presented in the book include: (1) control of chaotic escape from a potential well; (2) suppression of chaos in a driven Josephson junction; (3) control of chaotic solitons in Frenkel?Kontorova chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets.
Author | : Arkady S Pikovsky |
Publisher | : World Scientific |
Total Pages | : 226 |
Release | : 2006-04-26 |
Genre | : Science |
ISBN | : 9814478768 |
Download Strange Nonchaotic Attractors: Dynamics Between Order And Chaos In Quasiperiodically Forced Systems Book in PDF, ePub and Kindle
This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed.