A Review and Demonstration of The Essence of Chaos by Edward N. Lorenz

TL;DR

This paper reviews Lorenz's book on chaos, illustrating a realistic chaos model involving a sled on a bumpy hill, and demonstrates its formulation using Mathematica, updating previous work.

Contribution

It provides a detailed review of Lorenz's chaos model and offers a new Mathematica implementation, expanding on prior publications.

Findings

Illustrates chaos through a sled model on a bumpy hill

Provides calculated figures demonstrating the chaos model

Updates previous related arXiv publication

Abstract

A marvelous exposition on chaos is the book The Essence of Chaos by Dr. Edward N. Lorenz. In this book Dr. Lorenz, famous for his butterfly icon of chaos, gives a detailed description of a new and realistic model of chaos; the sliding of a board (a toboggan to those that live in snowy climes) and a sled down a "bumpy" hill (moguls to the snow aficionados). His text shows numerous figures which were calculated by him and this reviewer has formulated the model using Mathematica. This report is an update and expansion from previous arXiv publication (0910.2213).