Overview

This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes…. I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica

Full Product Details

Author:   Stephen Lynch
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2nd ed. 2014
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   1.031kg
ISBN:  

9783319068190

ISBN 10:   3319068199
Pages:   514
Publication Date:   01 August 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preface.- A Tutorial Introduction to MATLAB®.- Linear Discrete Dynamical Systems.- Nonlinear Discrete Dynamical Systems.- Complex Iterative Maps.- Electromagnetic Waves and Optical Resonators.- Fractals and Multifractals.- The Image Processing Toolbox.- Differential Equations.- Planar Systems.- Interacting Species.- Limit Cycles.- Hamiltonian Systems, Lyapunov Functions, and Stability.- Bifurcation Theory.- Three-Dimensional Autonomous Systems and Chaos.- Poincaré Maps and Nonautonomous Systems in the Plane.- Local and Global Bifurcations.- The Second Part of Hilbert's Sixteenth Problem.- Neural Networks.- Chaos Control and Synchronization.- Binary Oscillator Computing.- SIMULINK®.- Examination-Type Questions.- Solutions to Exercises.- Index.           

Reviews

For the First Edition: This book is an introduction to the theory of discrete and continuous dynamical systems with the aid of the numerical software MATLAB (and Simulink) including its Symbolic Math Toolbox. The intention of the author was to cover a broad field of topics, 'rather than fine detail,' and therefore, 'theorems with proofs have been kept to a minimum' (from the introduction). The text has a definite applied flavor and is driven by a variety of examples from many disciplines like biology (population dynamics, epidemiology), chemistry (reaction kinetics), economics or physics (electric circuits, nonlinear optics). As a basic principle, these examples are investigated with MATLAB and over 60 programs are listed throughout the book. The source code of these programs can be downloaded from the web as well. No advanced techniques or prerequisites from e.g., functional analysis are needed to understand the book and beyond mathematicians, the text is also readable for applied scientists and engineers. -Zentralblatt Math The book is a good introduction to dynamical systems theory. ...The theory and applications are presented with the aid of the MATLAB package. Throughout the book, MATLAB is viewed as a tool for solving systems or producing exciting graphics. ...The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend 'Dynamical Systems with Applications using MATLAB' as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. -Mathematica The book provides an introduction to the theory of dynamical systems with the aid of MATLAB, Simulink, and Symbolic Math Toolbox. It is written for final-year undergraduates, postgraduate students, and working scientists in both industry and academia. ...Driven by numerous examples from a broad range of disciplines and requiring only knowledge of ordinary differential equations, the text emphasizes applications and simulations using MATLAB. The first chapter is an efficient tutorial introduction to MATLAB. New users will be able to become familiar with MATLAB within a few hours and those moderately familiar with the package and the experts will find this Chapter 0 a useful source of reference. ...The programs are kept as simple as possible... The book contains about 330 illustrations, over 330 examples and exercises with solutions that play a key role in the presentation. Over 60 MATLAB program files and Simulink model files are listed throughout the text. -Revue Roumaine de Mathematiques Pures et Appliquees For the novice the main concepts are stated and examples, which can directly be tested on the computer, help grasp the idea behind these concepts and formalisms. But even the advanced reader will find some interesting examples or a compact introduction to topics he is not so familiar with. Visualization helps to catch on the underlying concepts faster. Watching the solution of a dynamical system evolve in the phase plane, [one] gets a better understanding of the formulas behind [them]... Even the novice is enabled to handle rather complex problems and manipulate them quickly... Together with the intuitive approach, the usage of the powerful software packages MATLAB/SIMULINK and the list of references this book provides the reader a good starting point to an intensive examination of dynamical systems. Summing up it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamic systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing... -OR News/Operations Research Spectrum

Stephen Lynch's book offers a comprehensive introduction to the theory and application of differential equations and dynamical systems methods. Its focus on applications and avoidance of overly technical arguments makes it a an equally good choice for teaching an undergraduate course in dynamical systems, as self-study for graduate students interested in dynamical systems, or as an introductory text for researchers seeking an overview of some current developments in applied dynamical systems. Most importantly, its content and presentation style convey the excitement that has drawn many students and researchers to dynamical systems in the first place. a Dynamical Systems Magazine This accessible university text shows how a wide range of differential equations work and begin to fail to work over a very wide range of solved and unsolvable applications. Mathematica is used throughout, from its tutorial introduction in Chapter 0 to the minimally chaotic neuromodule of the final section. This is the first work I have seen in which genuine self-education by computer is expected of the reader. The one-liner programs come to life when typed in, and the growing programming skill lends itself to inventing [one's] own extensions to the supplied problems. a Datafile, The Journal of the HPCC

The present book constitutes an introduction to the main concepts and techniques of dynamical systems ... . this book constitutes a valuable reference to the existing literature on dynamical systems, specially for the remarkable collection of examples and applications selected from very different areas as well as for its treatment with MATLAB of these problems. (Fernando Casas, zbMATH 1319.37002, 2015) Dynamical Systems with Applications using MATLAB provides a comprehensive introduction to the theory of dynamical systems and is designed for use by both advanced undergraduate and beginning graduate students. Its vast compilation of applications also makes this text a great resource for applied mathematicians, engineers, physicists, and researchers ... . Instructors will be pleased to find an aims and objectives section at the beginning of each chapter where the author outlines its content and provides student learning objectives. (Stanley R. Huddy, MAA Reviews, November, 2014)

From the book reviews: Dynamical Systems with Applications using MATLAB provides a comprehensive introduction to the theory of dynamical systems and is designed for use by both advanced undergraduate and beginning graduate students. Its vast compilation of applications also makes this text a great resource for applied mathematicians, engineers, physicists, and researchers ... . Instructors will be pleased to find an aims and objectives section at the beginning of each chapter where the author outlines its content and provides student learning objectives. (Stanley R. Huddy, MAA Reviews, November, 2014) This book is an introduction to the theory of discrete and continuous dynamical systems with the aid of the numerical software MATLAB (and Simulink) including its Symbolic Math Toolbox. The intention of the author was to cover a broad field of topics, 'rather than fine detail,' and therefore, 'theorems with proofs have been kept to a minimum' (from the introduction). The text has a definite applied flavor and is driven by a variety of examples from many disciplines like biology (population dynamics, epidemiology), chemistry (reaction kinetics), economics or physics (electric circuits, nonlinear optics). As a basic principle, these examples are investigated with MATLAB and over 60 programs are listed throughout the book. The source code of these programs can be downloaded from the web as well. No advanced techniques or prerequisites from e.g., functional analysis are needed to understand the book and beyond mathematicians, the text is also readable for applied scientists and engineers. -Zentralblatt Math The book is a good introduction to dynamical systems theory. ...The theory and applications are presented with the aid of the MATLAB package. Throughout the book, MATLAB is viewed as a tool for solving systems or producing exciting graphics. ...The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend 'Dynamical Systems with Applications using MATLAB' as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. -Mathematica The book provides an introduction to the theory of dynamical systems with the aid of MATLAB, Simulink, and Symbolic Math Toolbox. It is written for final-year undergraduates, postgraduate students, and working scientists in both industry and academia. ...Driven by numerous examples from a broad range of disciplines and requiring only knowledge of ordinary differential equations, the text emphasizes applications and simulations using MATLAB. The first chapter is an efficient tutorial introduction to MATLAB. New users will be able to become familiar with MATLAB within a few hours and those moderately familiar with the package and the experts will find this Chapter 0 a useful source of reference. ...The programs are kept as simple as possible... The book contains about 330 illustrations, over 330 examples and exercises with solutions that play a key role in the presentation. Over 60 MATLAB program files and Simulink model files are listed throughout the text. -Revue Roumaine de Mathematiques Pures et Appliquees For the novice the main concepts are stated and examples, which can directly be tested on the computer, help grasp the idea behind these concepts and formalisms. But even the advanced reader will find some interesting examples or a compact introduction to topics he is not so familiar with. Visualization helps to catch on the underlying concepts faster. Watching the solution of a dynamical system evolve in the phase plane, [one] gets a better understanding of the formulas behind [them]... Even the novice is enabled to handle rather complex problems and manipulate them quickly... Together with the intuitive approach, the usage of the powerful software packages MATLAB/SIMULINK and the list of references this book provides the reader a good starting point to an intensive examination of dynamical systems. Summing up it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamic systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing... -OR News/Operations Research Spectrum

Author Information

Stephen Lynch is Senior Lecturer in the Department of Computing and Mathematics at Manchester Metropolitan University.

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