Dynamical Systems with Applications using Python

by Stephen Lynch

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.

Genres: Mathematics

684 pages, Paperback

Published October 12, 2018

Reviews

[P S]

Helpful! As a novice to Dynamical Systems but a keen programmer, this book explained how to make practical use of the concepts via straightforward Python code and libraries, while clearly introducing relevant foundational mathematics topics along the way, such as linear algebra and calculus.

[Bhuvnesh Brawar]

A helping book for those who follow a Course of dynamical system and working with python.
This book containing enough codes.

[Effsis]

Occasionally unclear language and symbols but overall concise and practical