Dynamical Systems with Applications using Python

• Main Author: Lynch, Stephen (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Subjects: Dynamics.; Ergodic theory.; Statistical physics.; Dynamical systems.; Differential equations.; Applied mathematics.; Engineering mathematics.; Dynamical Systems and Ergodic Theory.; Complex Systems.; Ordinary Differential Equations.; Mathematical and Computational Engineering.; Applications of Mathematics.; Statistical Physics and Dynamical Systems.

This textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, an...

Table of Contents:

• Preface
• A Tutorial Introduction to Python
• 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
• Delay Differential Equations
• Linear Discrete Dynamical Systems
• Nonlinear Discrete Dynamical Systems
• Complex Iterative Maps
• Electromagnectic Waves and Optical Resonators
• Fractals and Multifractals
• Image Processing with Python
• Chaos Control and Synchronization
• Neural Networks
• Binary Oscillator Computing
• Coursework and Examination-Type Questions
• Solutions to Exercises
• Index of Python Programs
• Index.