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Mathematics LibreTexts

II: Dynamical Systems and Chaos

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The second part of this course will include a discussion of dynamical systems theory and chaos. Our main vehicle for this discussion will be the motion of the one-dimensional driven, damped pendulum.

Thumbnail: A double rod pendulum animation showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions. (Public Domain; Catslash).


This page titled II: Dynamical Systems and Chaos is shared under a CC BY 3.0 license and was authored, remixed, and/or curated by Jeffrey R. Chasnov via source content that was edited to the style and standards of the LibreTexts platform.

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