Dynamical Systems with Applications Using Mathematica®

• Main Author: Lynch, Stephen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Edition: 2nd ed. 2017.
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Applied mathematics.; Engineering mathematics.; System theory.; Computer software.; Dynamical Systems and Ergodic Theory.; Applications of Mathematics.; Ordinary Differential Equations.; Complex Systems.; Mathematical and Computational Engineering.; Mathematical Software.

This textbook, now in its second edition, provides a broad introduction to the theory and practice of both continuous and discrete dynamical systems with the aid of the Mathematica software suite. Taking a hands-on approach, the reader is guided from basic concepts to modern research topics. Emphasi...

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.