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Title Downloads

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
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BifurcationDiagrams.nb (733.8 KB) - Draws bifurcation diagrams for parametrized families of functions
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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
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GraphicalAnalysis.nb (94.1 KB) - Creates diagrams for graphical analysis of the dynamics of a function
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IteratingFunctions.nb (35.8 KB) - Describes methods of function iteration and graphing iterated functions

Files specific to Mathematica 2.2 version:
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BifurcationDiagrams.ma (700.8 KB) - Draws bifurcation diagrams for parametrized families of functions
Download
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
Download
GraphicalAnalysis.ma (25.1 KB) - Creates diagrams for graphical analysis of the dynamics of a function
Download
IteratingFunctions.ma (16.2 KB) - Describes methods of function iteration and graphing iterated functions