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)



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

Included in

Mathematics Commons



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