Tools for Analyzing Discrete Dynamical Systems -- from Wolfram Library Archive

Products

Consulting & Solutions

Learning & Support

Company

Wolfram|Alpha

Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how

Title

Tools for Analyzing Discrete Dynamical Systems

Author

Richard A. Holmgren

Organization:

Allegheny College

Old MathSource #

0208-381

Revision date

1996-06-01

Description

These notebooks are intended to help the user explore concepts in discrete dynamical systems. They were developed for use with the text A First Course in Discrete Dynamical Systems, 2nd edition by Richard A. Holmgren, which was published by Springer-Verlag in 1996. They are sufficiently generic to be of use to anyone studying discrete dynamics at the undergraduate level.

Subject

Mathematics > Calculus and Analysis > Dynamical Systems

Keywords

dynamics, dynamical systems

Downloads

BifurcationDiagrams.nb (733.8 KB) - Draws bifurcation diagrams for parametrized families of functions

ComplexDynamics.nb (229.5 KB) - Illustrates concepts from complex dynamics. In particular, it contains algorithms for drawing Julia and Mandelbrot sets, as well as the basins of attraction for Newton's method in the complex plane

GraphicalAnalysis.nb (94.1 KB) - Creates diagrams for graphical analysis of the dynamics of a function

IteratingFunctions.nb (35.8 KB) - Describes methods of function iteration and graphing iterated functions

Files specific to Mathematica 2.2 version:

BifurcationDiagrams.ma (700.8 KB) - Draws bifurcation diagrams for parametrized families of functions

ComplexDynamics.ma (151.5 KB) - Illustrates concepts from complex dynamics. In particular, it contains algorithms for drawing Julia and Mandelbrot sets, as well as the basins of attraction for Newton's method in the complex plane

GraphicalAnalysis.ma (25.1 KB) - Creates diagrams for graphical analysis of the dynamics of a function

IteratingFunctions.ma (16.2 KB) - Describes methods of function iteration and graphing iterated functions

WOLFRAM