Discrete Chaos
DOWNLOAD
Download Discrete Chaos PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Discrete Chaos 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
Discrete Chaos
DOWNLOAD
Author : Saber N. Elaydi
language : en
Publisher: CRC Press
Release Date : 2007-11-09
Discrete Chaos written by Saber N. Elaydi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-09 with Mathematics categories.
While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determinant stability, bifurcation analysis, and the detailed analysis of the center manifold theory. This edition also covers L-systems and the periodic structure of the bulbs in the Mandelbrot set as well as new applications in biology, chemistry, and physics. The principal improvements to this book are the additions of PHASER software on an accompanying downloadable resources and the MapleTM and Mathematica® code available for download online. Incorporating numerous new topics and technology not found in similar texts, Discrete Chaos, Second Edition presents a thorough, up-to-date treatment of the theory and applications of discrete dynamical systems.
Chaos In Discrete Dynamical Systems
DOWNLOAD
Author : Ralph Abraham
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Chaos In Discrete Dynamical Systems written by Ralph Abraham 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 1997 with Computers categories.
Chaos Theory is a synonym for dynamical systems theory, a branch of mathematics. Dynamical systems come in three flavors: flows (continuous dynamical systems), cascades (discrete, reversible, dynamical systems), and semi-cascades (discrete, irreversible, dynamical systems). Flows and semi-cascades are the classical systems iuntroduced by Poincare a centry ago, and are the subject of the extensively illustrated book: "Dynamics: The Geometry of Behavior," Addison-Wesley 1992 authored by Ralph Abraham and Shaw. Semi- cascades, also know as iterated function systems, are a recent innovation, and have been well-studied only in one dimension (the simplest case) since about 1950. The two-dimensional case is the current frontier of research. And from the computer graphcis of the leading researcher come astonishing views of the new landscape, such as the Julia and Mandelbrot sets in the beautiful books by Heinz-Otto Peigen and his co-workers. Now, the new theory of critical curves developed by Mira and his students and Toulouse provide a unique opportunity to explain the basic concepts of the theory of chaos and bifurcations for discete dynamical systems in two-dimensions. The materials in the book and on the accompanying disc are not solely developed only with the researcher and professional in mind, but also with consideration for the student. The book is replete with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-color animations that are tied directly into the subject matter of the book, itself. In addition, much of this material has also been class-tested by the authors. The cross-platform CD also contains a software program called ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided which give the reader the option of working directly with the code from which the graphcs in the book were
Discrete Chaos Second Edition
DOWNLOAD
Author : Saber N. Elaydi
language : en
Publisher: CRC Press
Release Date : 1999-12-22
Discrete Chaos Second Edition written by Saber N. Elaydi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-22 with Mathematics categories.
Over the last 15 years chaos has virtually exploded over the landscape of mathematics and showered its effects on nearly every scientific discipline. However, despite the large number of texts published on the subject, a need has persisted for a book accessible to readers of varying backgrounds that includes discussion of stability theory and emphasizes real-world applications. Discrete Chaos fills that need. With only calculus and linear algebra as prerequisites, this book offers a broad range of topics with a depth not often found in texts written at this level. The author presents a thorough exposition of both stability and chaos theories in both one and two dimensions. He offers a highly readable account of fractals and the mathematics behind them, and demonstrates a number of applications from a variety of fields. This unique treatment of chaos encourages readers to make mathematical discoveries of their own through computer experimentation. The author incorporates the use of Mapleä software throughout the book to aid in the solution of problems. All of the programs used in the book can be easily downloaded from the Internet. You'll find even the most difficult material in an elementary framework, easily accessible regardless of your background and specialization. With a multitude of exercises to further enhance the learning experience, Discrete Chaos offers the perfect vehicle for beginning the journey into the rich world of chaos.
Discrete Dynamical Systems Bifurcations And Chaos In Economics
DOWNLOAD
Author : Wei-Bin Zhang
language : en
Publisher: Elsevier
Release Date : 2006-01-05
Discrete Dynamical Systems Bifurcations And Chaos In Economics written by Wei-Bin Zhang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-05 with Mathematics categories.
This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years. It studies most important concepts and theorems in difference equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. It contains well-known applications and many recent developments in different fields of economics. The book also simulates many models to illustrate paths of economic dynamics. - A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics - Mathematical definitions and theorems are introduced in a systematic and easily accessible way - Examples are from almost all fields of economics; technically proceeding from basic to advanced topics - Lively illustrations with numerous figures - Numerous simulation to see paths of economic dynamics - Comprehensive treatment of the subject with a comprehensive and easily accessible approach
Chaos
DOWNLOAD
Author : Kathleen Alligood
language : en
Publisher: Springer
Release Date : 2012-12-06
Chaos written by Kathleen Alligood and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of the planets could he explained hy assuming that there is a gravitational attraction he tween any two ohjects, a force that is proportional to the product of masses and inversely proportional to the square of the distance between them. The circular, elliptical, and parabolic orhits of astronomy were v INTRODUCTION no longer fundamental determinants of motion, but were approximations of laws specified with differential equations. His methods are now used in modeling motion and change in all areas of science. Subsequent generations of scientists extended the method of using differ ential equations to describe how physical systems evolve. But the method had a limitation. While the differential equations were sufficient to determine the behavior-in the sense that solutions of the equations did exist-it was frequently difficult to figure out what that behavior would be. It was often impossible to write down solutions in relatively simple algebraic expressions using a finite number of terms. Series solutions involving infinite sums often would not converge beyond some finite time.
Discrete Dynamical Systems Chaos Theory And Fractals
DOWNLOAD
Author : Linda Sundbye
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-10-05
Discrete Dynamical Systems Chaos Theory And Fractals written by Linda Sundbye and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-05 with categories.
An introductory undergraduate level text on chaos theory, nonlinear dynamics and fractal geometry.
Fractional Discrete Chaos Theories Methods And Applications
DOWNLOAD
Author : Adel Ouannas
language : en
Publisher: World Scientific
Release Date : 2023-02-13
Fractional Discrete Chaos Theories Methods And Applications written by Adel Ouannas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-13 with Science categories.
In the nineteenth-century, fractional calculus had its origin in extending differentiation and integration operators from the integer-order case to the fractional-order case. Discrete fractional calculus has recently become an important research topic, useful in various science and engineering applications. The first definition of the fractional-order discrete-time/difference operator was introduced in 1974 by Diaz and Osler, where such operator was derived by discretizing the fractional-order continuous-time operator. Successfully, several types of fractional-order difference operators have then been proposed and introduced through further generalizing numerous classical operators, motivating several researchers to publish extensively on a new class of systems, viz the nonlinear fractional-order discrete-time systems (or simply, the fractional-order maps), and their chaotic behaviors. This discovery of chaos in such maps, has led to novel control methods for effectively stabilizing their chaotic dynamics.The aims of this book are as follows:
Chaos Based Cryptography
DOWNLOAD
Author : Ljupco Kocarev
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-17
Chaos Based Cryptography written by Ljupco Kocarev 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 2011-06-17 with Computers categories.
Chaos-based cryptography, attracting many researchers in the past decade, is a research field across two fields, i.e., chaos (nonlinear dynamic system) and cryptography (computer and data security). It Chaos' properties, such as randomness and ergodicity, have been proved to be suitable for designing the means for data protection. The book gives a thorough description of chaos-based cryptography, which consists of chaos basic theory, chaos properties suitable for cryptography, chaos-based cryptographic techniques, and various secure applications based on chaos. Additionally, it covers both the latest research results and some open issues or hot topics. The book creates a collection of high-quality chapters contributed by leading experts in the related fields. It embraces a wide variety of aspects of the related subject areas and provide a scientifically and scholarly sound treatment of state-of-the-art techniques to students, researchers, academics, personnel of law enforcement and IT practitioners who are interested or involved in the study, research, use, design and development of techniques related to chaos-based cryptography.
Difference Equations
DOWNLOAD
Author : Paul Cull
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-03
Difference Equations written by Paul Cull 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 2005-08-03 with Mathematics categories.
In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly. The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been class-tested, they also suggest further problems and possible research topics.
Differential Equations Dynamical Systems And An Introduction To Chaos
DOWNLOAD
Author : Morris W. Hirsch
language : en
Publisher: Academic Press
Release Date : 2004
Differential Equations Dynamical Systems And An Introduction To Chaos written by Morris W. Hirsch and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Business & Economics categories.
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.