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