Dynamical Systems with Applications using Mathematica®

• Main Author: Lynch, Stephen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential equations.; Applied mathematics.; Engineering mathematics.; Statistical physics.; Dynamical systems.; Computational intelligence.; Analysis.; Applications of Mathematics.; Ordinary Differential Equations.; Statistical Physics, Dynamical Systems and Complexity.; Appl.Mathematics/Computational Methods of Engineering.; Computational Intelligence.

Dynamical Systems with Applications using Mathematica® provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasize...

Table of Contents:

• A Tutorial Introduction to Mathematica
• 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
• Linear Discrete Dynamical Systems
• Nonlinear Discrete Dynamical Systems
• Complex Iterative Maps
• Electromagnetic Waves and Optical Resonators
• Fractals and Multifractals
• Chaos Control and Synchronization
• Neural Networks
• Examination-Type Questions
• Solutions to Exercises.