The Mathematica Programmer: Function Iteration and Chaos -- from Wolfram Library Archive

Title

The Mathematica Programmer: Function Iteration and Chaos

Author

Roman Maeder

Organization:

Wolfram Research, Inc.

Department:

Kernel Technology

Journal / Anthology

The Mathematica Journal

Year:

1995

Volume:

Issue:

Page range:

28-40

Description

We present a number of programs to investigate and visualize chaos as it occurs with iterated application of functions. We look at ways to picture orbits under repeated application and to draw final-state diagrams. We discuss symbolic and numerical methods to find periodic orbits, bifurcation points, super-attractive orbits, and the Feigenbaum constant. Further topics include statistical analysis and visualization of chaotic phenomena such as sensitivity, mixing, ergodic orbits, and intermittency.

Subject

Mathematics > Calculus and Analysis > Dynamical Systems

URL

http://www.mathematica-journal.com/issue/v5i2/

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