| LIBRARY OF CONGRESS CONTROL NUMBER |
|---|
| LC control number |
2017947473 |
| INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783319614847 |
| DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Call number |
515.39 LY DY |
| MAIN ENTRY--PERSONAL NAME |
|---|
| Authors |
Lynch, Stephen |
| TITLE STATEMENT |
|---|
| Title |
Dynamical systems with applications using mathematica |
| Statement of responsibility, etc |
Stephen Lynch |
| EDITION STATEMENT |
|---|
| Edition |
2nd ed. |
| PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication |
New York, NY : |
| Publisher |
Springer Berlin Heidelberg, |
| Date |
2017. |
| PHYSICAL DESCRIPTION |
|---|
| Extent |
xvi, 585 p. ; |
| Size |
22 cm. |
| CONTENTS |
|---|
| 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.- Poincare 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. |
| SUMMARY |
|---|
| Summary |
This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. |
| SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Heading |
Differential Equations |
| SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Heading |
Electromagnetic Waves |
| ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
https://uowd.box.com/s/tsxocw67f638sosi2wjho6dr0tt84g3j |
| Public note |
Location Map |
| MAIN ENTRY--PERSONAL NAME |
|---|
| -- |
11513 |
| SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| -- |
4745 |
| SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| -- |
11514 |