INTRODUCTION TO DISCRETE DYNAMICAL SYSTEMS AND CHAOS Livre électronique


INTRODUCTION TO DISCRETE DYNAMICAL SYSTEMS AND CHAOS - Mario Martelli pdf epub

PRIX: GRATUIT

INFORMATION

LANGUE: FRANÇAIS
L'HISTOIRE: 01/10/1999
ÉCRIVAINE/ÉCRIVAIN: Mario Martelli
ISBN: 0-471-31975-9
FORMAT: PDF EPUB MOBI TXT
TAILLE DU FICHIER: 9,31

EXPLICATION:

The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines have been investigated, explained, and utilized.Introduction to Discrete Dynamical Systems and Chaos makes these exciting and important ideas accessible to students and scientists by assuming, as a background, only the standard undergraduate training in calculus and linear algebra. Chaos is introduced at the outset and is then incorporated as an integral part of the theory of discrete dynamical systems in one or more dimensions. Both phase space and parameter space analysis are developed with ample exercises, more than 100 figures, and important practical examples such as the dynamics of atmospheric changes and neural networks.An appendix provides readers with clear guidelines on how to use Mathematica to explore discrete dynamical systems numerically. Selected programs can also be downloaded from a Wiley ftp site (address in preface). Another appendix lists possible projects that can be assigned for classroom investigation. Based on the author's 1993 book, but boasting at least 60% new, revised, and updated material, the present Introduction to Discrete Dynamical Systems and Chaos is a unique and extremely useful resource for all scientists interested in this active and intensely studied field.

...makes theseexciting and important ideas accessible to students and scientistsby assuming, as a background, only the standard undergraduatetraining in calculus and linear algebra ... PDF Differential Equations, Dynamical Systems, and An ... ... . Chaos is introduced at theoutset and is then incorporated as an integral part of the theoryof discrete dynamical systems in one or more dimensions. Both phasespace ... Dynamical systems is a area of mathematics and science that studies how the state of systems change over time, in this module we will lay down the foundations to understanding dynamical systems as ... Introduction to Dynamical Systems John K. Hunter Department of Mathematics, University of California at Davis. c John K. Hunter, 2011. Contents Chapter 1. Introduction 1 1.1 ... Introduction to Discrete Dynamical Systems and Chaos ... ... ... Introduction to Dynamical Systems John K. Hunter Department of Mathematics, University of California at Davis. c John K. Hunter, 2011. Contents Chapter 1. Introduction 1 1.1. First-order systems of ODEs 1 1.2. Existence and uniqueness theorem for IVPs 3 1.3. Linear systems of ODEs 7 1.4. Phase space 8 1.5. Bifurcation theory 12 1.6. Discrete dynamical systems 13 1.7. References 15 Chapter 2 ... CHAPTER 15 Discrete Dynamical Systems 329 15.1 Introduction 329 15.2 Bifurcations 334 15.3 The Discrete Logistic Model 337 15.4 Chaos 340 15.5 Symbolic Dynamics 344 15.6 The Shift Map 349 15.7 The Cantor Middle-Thirds Set 351 15.8 Exploration: Cubic Chaos 354 15.9 Exploration: The Orbit Diagram 355 CHAPTER 16 Homoclinic Phenomena 361 Purchase Differential Equations, Dynamical Systems, and an Introduction to Chaos - 3rd Edition. Print Book & E-Book. ISBN 9780123820105, 9780123820112 Chapters 9-13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals ... A dynamical system is a manifold M called the phase (or state) space endowed with a family of smooth evolution functions Φ t that for any element of t ∈ T, the time, map a point of the phase space back into the phase space. The notion of smoothness changes with applications and the type of manifold. There are several choices for the set T.When T is taken to be the reals, the dynamical ... Introduction to Discrete Dynamical Systems and Chaos makes these exciting and important ideas accessible to students and scientists by assuming, as a background, only the standard undergraduate training in calculus and linear algebra. Chaos is introduced at the outset and is then incorporated as an integral part of the theory of discrete dynamical systems in one or more dimensions. Both phase ... DOI: 10.5860/choice.35-0336 Corpus ID: 121562098. Chaos: An Introduction to Dynamical Systems @inproceedings{Alligood1997ChaosAI, title={Chaos: An Introduction to Dynamical Systems}, author={Kathleen T. Alligood and Tim Sauer and James A Yorke and J. Douglas Cra...