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
Recommended Citation
Michael Van Opstall, Quantifying Chaos in Dynamical Systems with Lyapunov Exponents, Furman University Electronic Journal of Undergraduate Mathematics, 4 (2016), 1-8. Available at: https://scholarexchange.furman.edu/fuejum/vol4/iss1/1
Comments
This paper was written while the author was an undergraduate at Hope College.