Discrete Dynamical Systems and Difference Equations with Mathematica

Name: Discrete Dynamical Systems and Difference Equations with Mathematica
Brand: Taylor & Francis Inc
Price: 324.75 AUD
Availability: BackOrder

By: Mustafa R.S. Kulenovic, Orlando Merino

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Hardcover | 27 February 2002 | Edition Number 1

At a Glance

Hardcover
362 Pages

Dimensions(cm)
23.4 x 15.6 x 2.54

Hardcover

RRP $378.00

$324.75

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Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find basins of attraction.

Modern computer algebra systems have opened the door to the use of symbolic calculation for studying difference equations. This book offers an introduction to discrete dynamical systems and difference equations and presents the Dynamica software. Developed by the authors and based on Mathematica, Dynamica provides an easy-to-use collection of algebraic, numerical, and graphical tools and techniques that allow users to quickly gain the ability to:

Find and classify the stability character of equilibrium and periodic points

Perform semicycle analysis of solutions

Calculate and visualize invariants

Calculate and visualize Lyapunov functions and numbers

Plot bifurcation diagrams

Visualize stable and unstable manifolds

Calculate Box Dimension

While it presents the essential theoretical concepts and results, the book's emphasis is on using the software. The authors present two sets of Dynamica sessions: one that serves as a tutorial of the different techniques, the other features case studies of well-known difference equations. Dynamica and notebooks corresponding to particular chapters are available for download from the Internet.

Industry Reviews

"Several tutorials and example sessions with Dynamica are effectively woven into the main text, and the package is straightforward to use a good resource and supplementary text" -CHOICE

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