Description
Dynamical Systems with Applications using Mathematica® (2nd Ed., 2nd ed. 2017)
Author: Lynch Stephen
Language: EnglishSubject for Dynamical Systems with Applications using Mathematica®:
Approximative price 84.39 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Lynch StephenPublication date: 08-2018
Support: Print on demand
Approximative price 84.39 €
In Print (Delivery period: 15 days).
Add to cart the book of Lynch StephenPublication date: 10-2017
585 p. · 15.5x23.5 cm · Hardback
Description
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The book begins with an efficient tutorial introduction to Mathematica, enabling new users to become familiar with the program, while providing a good reference source for experts.
The author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum, though references are included for the inquisitive reader. The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many of the chapters are especially useful as reference material for senior undergraduate independent project work.
New to the second edition:
Since the first printing of this book in 2007, Mathematica has evolved from version 6.0 to version 11.0 in 2016. Accordingly, the second edition has been thoroughly updated and new material has been added. There are many more applications, examples and exercises, all with solutions, and new sections on series solutions of ordinary differential equations and Newton fractals, have been added. There are also new chapters on delay differential equations, image processing, binary oscillator computing, and simulation with Wolfram SystemModeler.
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.
Exercises are included at the end of every chapter
Applications to many disciplines: biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks