A Practical Approach to Dynamical Systems for Engineers

A Practical Approach to Dynamical Systems for Engineers

1st Edition - November 19, 2015

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  • Author: Patricia Mellodge
  • eBook ISBN: 9780081002247
  • Hardcover ISBN: 9780081002025

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A Practical Approach to Dynamical Systems for Engineers takes the abstract mathematical concepts behind dynamical systems and applies them to real-world systems, such as a car traveling down the road, the ripples caused by throwing a pebble into a pond, and a clock pendulum swinging back and forth. Many relevant topics are covered, including modeling systems using differential equations, transfer functions, state-space representation, Hamiltonian systems, stability and equilibrium, and nonlinear system characteristics with examples including chaos, bifurcation, and limit cycles. In addition, MATLAB is used extensively to show how the analysis methods are applied to the examples. It is assumed readers will have an understanding of calculus, differential equations, linear algebra, and an interest in mechanical and electrical dynamical systems.

Key Features

  • Presents applications in engineering to show the adoption of dynamical system analytical methods
  • Provides examples on the dynamics of automobiles, aircraft, and human balance, among others, with an emphasis on physical engineering systems
  • MATLAB and Simulink are used throughout to apply the analysis methods and illustrate the ideas
  • Offers in-depth discussions of every abstract concept, described in an intuitive manner, and illustrated using practical examples, bridging the gap between theory and practice
  • Ideal resource for practicing engineers who need to understand background theory and how to apply it


Mechanical, Electrical, or Biomedical engineers working in industry or government in R&D (particularly in Automotive, Aerospace, Manufacturing and Robotics). Senior undergraduate or graduate students looking to supplement their control systems textbooks.

Table of Contents

    • List of Figures
    • List of Tables
    • About the Author
    • Preface
    • Chapter 1. Introduction: What Is a Dynamical System?
      • 1.1. Overview
      • 1.2. Types of Systems
      • 1.3. Examples of Dynamical Systems
      • 1.4. A Note on MATLAB and Simulink
    • Chapter 2. System Modeling
      • 2.1. Introduction
      • 2.2. Equations of Motion
      • 2.3. Transfer Functions
      • 2.4. State-Space Representation
      • 2.5. System Identification
    • Chapter 3. Characteristics of Dynamical Systems
      • 3.1. Overview
      • 3.2. Existence and Uniqueness of Solutions: Why It Matters
      • 3.3. Equilibrium and Nullclines
      • 3.4. Stability
      • 3.5. Lyapunov Functions
    • Chapter 4. Characteristics of Nonlinear Systems
      • 4.1. Types of Nonlinear Systems
      • 4.2. Limit Cycles
      • 4.3. Bifurcation
      • 4.4. Chaos
      • 4.5. Linearization
    • Chapter 5. Hamiltonian Systems
      • 5.1. Overview
      • 5.2. Structure of Hamiltonian Systems
      • 5.3. Examples
      • 5.4. Conclusion
    • Index

Product details

  • No. of pages: 292
  • Language: English
  • Copyright: © Woodhead Publishing 2015
  • Published: November 19, 2015
  • Imprint: Woodhead Publishing
  • eBook ISBN: 9780081002247
  • Hardcover ISBN: 9780081002025

About the Author

Patricia Mellodge

Patricia Mellodge is an Associate Professor of Electrical and Computer Engineering in the College of Engineering, Technology, and Architecture at the University of Hartford.

Affiliations and Expertise

Associate Professor, Electrical and Computer Engineering, College of Engineering, Technology, and Architecture, University of Hartford, Hartford, CT, USA

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