•  
  •  
 

Abstract

In this paper we analyze the dynamics of a four dimensional mechanical system which exhibits sensitive dependence on initial conditions. The aim of the paper is to introduce the basic ideas of chaos theory while assuming only a course in ordinary differential equations as a prerequisite.

Faculty Advisor Name

Timothy Pennings

Faculty Advisor Institution

Hope College

Suggested Mathematics Subject Classification(s)

34D08

Comments

This paper was written while the author was an undergraduate at Hope College.

Included in

Mathematics Commons

Share

COinS
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.