A Practical Approach to Dynamical Systems for Engineers 1st Edition by Patricia Mellodge ISBN 0081002025 9780081002025
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ISBN 10: 0081002025
ISBN 13: 9780081002025
Author: Patricia Mellodge
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.
A Practical Approach to Dynamical Systems for Engineers 1st Table of contents:
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
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