Dynamical Systems with Applications using MATLAB
(Sprache: Englisch)
PThis 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...
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PThis 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./P
Klappentext zu „Dynamical Systems with Applications using MATLAB “
Beginning with a tutorial guide to MATLAB®, the text thereafter is divided into two main areas. In Part I, both real and complex discrete dynamical systems are considered, with examples presented from population dynamics, nonlinear optics, and materials science. Part II includes examples from mechanical systems, chemical kinetics, electric circuits, economics, population dynamics, epidemiology, and neural networks. Common themes such as bifurcation, bistability, chaos, fractals, instability, multistability, periodicity, and quasiperiodicity run through several chapters. Chaos control and multifractal theories are also included along with an example of chaos synchronization. Some material deals with cutting-edge published research articles and provides a useful resource for open problems in nonlinear dynamical systems.Readers are guided through theory via example, and the graphical MATLAB® interface. The Simulink® accessory is used to simulate real-world dynamical processes. Examples from: mechanics, electric circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science, and neural networks. Over 330 illustrations, 300 examples, and exercises with solutions. Aimed at senior undergraduates, graduate students, and working scientists in various branches of engineering, applied mathematics, and the natural sciences.
Beginning with a tutorial guide to MATLAB®, the text thereafter is divided into two main areas. In Part I, both real and complex discrete dynamical systems are considered, with examples presented from population dynamics, nonlinear optics, and materials science. Part II includes examples from mechanical systems, chemical kinetics, electric circuits, economics, population dynamics, epidemiology, and neural networks. Common themes such as bifurcation, bistability, chaos, fractals, instability, multistability, periodicity, and quasiperiodicity run through several chapters. Chaos control and multifractal theories are also included along with an example of chaos synchronization. Some material deals with cutting-edge published research articles and provides a useful resource for open problems in nonlinear dynamical systems.
Readers are guided through theory via example, and the graphical MATLAB® interface. The Simulink® accessory is used to simulate real-world dynamical processes. Examples from: mechanics, electric circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science, and neural networks. Over 330 illustrations, 300 examples, and exercises with solutions. Aimed at senior undergraduates, graduate students, and working scientists in various branches of engineering, applied mathematics, and the natural sciences.
Readers are guided through theory via example, and the graphical MATLAB® interface. The Simulink® accessory is used to simulate real-world dynamical processes. Examples from: mechanics, electric circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science, and neural networks. Over 330 illustrations, 300 examples, and exercises with solutions. Aimed at senior undergraduates, graduate students, and working scientists in various branches of engineering, applied mathematics, and the natural sciences.
Inhaltsverzeichnis zu „Dynamical Systems with Applications using MATLAB “
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
- Poincaré 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.
Bibliographische Angaben
- Autor: Stephen Lynch
- 2004, 2004, 459 Seiten, 330 Schwarz-Weiß-Abbildungen, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 0817643214
- ISBN-13: 9780817643218
- Erscheinungsdatum: 09.08.2004
Sprache:
Englisch
Rezension zu „Dynamical Systems with Applications using MATLAB “
"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).
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