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Quantifying Chaos In Dynamical Systems With Lyapunov Exponents, Michael Van Opstall
Quantifying Chaos In Dynamical Systems With Lyapunov Exponents, Michael Van Opstall
Furman University Electronic Journal of Undergraduate Mathematics
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.