A Study of Chaos in Dynamical Systems

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Abstract

The behavior of systems such as periodicity, fixed points, and most importantly chaos has evolved as an integral part of mathematics, especially in dynamical system. This research presents a study on chaos as a property of nonlinear science. Systems with at least two of the following properties are considered to be chaotic in a certain sense: bifurcation and period doubling, period three, transitivity and dense orbit, sensitive dependence to initial conditions, and expansivity. These are termed as the routes to chaos.

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Effah-Poku, S., Obeng-Denteh, W., & Dontwi, I. K. (2018). A Study of Chaos in Dynamical Systems. Journal of Mathematics, 2018. https://doi.org/10.1155/2018/1808953

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