"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 Mathématiques Pures et Appliquées
"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
Reviews of the author’s Maple® edition:
"…will provide a solid basis for both research and education in nonlinear dynamical systems." —The Maple® Reporter
"The text treats a remarkable spectrum of topics…and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using MAPLE®." —U.K. Nonlinear News
"Broad fields of topics are covered and several examples from Mathematics, but also from sciences like Physics (nonlinear optics, electrical circuits), Biology (population dynamics, epidemiology), Chemistry (reaction kinetics) and Economics are detailed. Treating all these problems with MATLAB over 60 programs are included; note also that the source code of these programs can be downloaded from the web. An important aspect, useful for beginners, is that no prerequisites or advanced techniques (e.g. from modern and functional analysis) are needed to understand the contents. Also, a preliminary chapter, namely Chapter 0, is a quick tutorial introduction to MATLAB by examples and problems.
"… The book is very well written and can be used as a basic material for various undergraduate and graduate courses." —Mircea Crâsmareanu, Analele StiintificeFrom the Publisher:
This introduction to dynamical systems theory guides readers through theory via example and the graphical MATLAB interface; the SIMULINK® accessory is used to simulate real-world dynamical processes. Examples included are from mechanics, electrical circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science and neural networks. The book contains over 330 illustrations, 300 examples, and exercises with solutions.
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Descripción Birkhäuser. PAPERBACK. Estado de conservación: New. 0817643214 New Condition. Nº de ref. de la librería NEW4.0504315
Descripción Birkhäuser, 2004. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Preface A Tutorial Introduction to MATLAB and the Symbolic Math Toolbox Linear Discrete Dynamical Systems Nonlinear Discrete Dynamical Systems Complex Iterative Maps Electromagnetic Waves and Optical Resonators Fractals and Multifractals Controlling Chaos Differential Equations Planar Systems Interacting Species Limit Cycles Hamiltonian Systems, Liapunov Functions, and Stability Bifurcation Theory Three Dimensional Autonomous Systems and Chaos Poincar Maps and Nonautonomous Systems in the Plane Local and Global Bifurcations The Second Part of David Hilbert's Sixteenth Problem Neural Networks SIMULINK Solutions to Exercises References MATLAB Program File Index SIMULINK Model File Index Index. Nº de ref. de la librería ABE_book_new_0817643214
Descripción Birkhäuser, 2004. Paperback. Estado de conservación: New. 2004. Nº de ref. de la librería DADAX0817643214
Descripción Birkhäuser, 2004. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0817643214
Descripción Birkhäuser, 2009. Paperback. Estado de conservación: New. Nº de ref. de la librería P110817643214