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.
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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