Dynamical Systems with Applications using MATLAB®

• Main Author: Lynch, Stephen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Edition: 2nd ed. 2014.
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Applied mathematics.; Engineering mathematics.; Statistical physics.; Dynamical systems.; Dynamical Systems and Ergodic Theory.; Statistical Physics, Dynamical Systems and Complexity.; Ordinary Differential Equations.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.

This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolb...

Table of Contents:

• 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.           .