The motion of the double pendulum illustrates a high sensitivity to initial conditions. To the naive observer, the motion may appear "random" and "unpredictable".
We show a derivation of the differential equations of motion for the double pendulum in order to validate its determinism. Following this, we numerically solve the equations for a particular set of conditions, and plot the solutions to explore the theoretical behavior of the system. These results are available double_pendulum_notebook.ipynb.
In an additional engineering project, a double pendulum model was designed and 3D printed. For those interested in this task, design files are available under the MODEL directory.
The overall goal of this project is to boost understanding of chaotic systems.
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A derivation of the differential equations for the double pendulum, Runge-Kutta Python simulation, and files for a 3D printed model of double pendulum
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