Stephen Lynch

Dynamical Systems with Applications Using Mathematica® (eBook, PDF)

• Format: PDF

Produktbeschreibung

Fully updated to recent versions of Mathematica

Book has a very hands-on approach and takes the reader from basic theory to modern research

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

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 585
• Erscheinungstermin: 12. Oktober 2017
• Englisch
• ISBN-13: 9783319614854
• Artikelnr.: 53060171

Autorenporträt

Stephen Lynch is Senior Lecturer in the Department of Computing and Mathematics at Manchester Metropolitan University.

Also by the author:

Dynamical Systems with Applications using Maple(TM), ISBN 978-0-8176-4389-8

Dynamical Systems with Applications using MATLAB®, ISBN 978-3-319-06819-0

Inhaltsangabe

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.

Rezensionen

"Lynch's book provides a through and very readable introduction to the dynamical systems. It addresses all the topics that one would expect, including both continuous-time and discrete-time models and at a level appropriate for experienced undergraduates and early postgraduates." (J.M Christian, Mathematics Today, Vol. 54 (04), August, 2018)