Dynamical Systems with Applications using MATLAB®

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...

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Bibliographic Details
Author / Creator: Lynch, Stephen. (Author, http://id.loc.gov/vocabulary/relators/aut)
Other Corporate Authors / Creators:SpringerLink (Online service)
Format: Electronic eBook
Language:English
Edition:2nd ed. 2014.
Imprint: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
Subjects:
Online Access:Available in Springer Mathematics and Statistics eBooks 2014 English/International.
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.           .