Modeling Double Pendulums with Wave Functions and Recurrent Neural Networks

By Nathan Cheng, Akshay Vellore

Chaotic systems are normally modeled by nonlinear differential equations. These equations usually require numerical methods to be solved, but they are computation intensive. Our project aims to compare two novel solutions to predicting chaotic systems: machine learning (particularly with reservoir computing) and approximating the nonlinear system of differential equations as a (infinite) list of linear differential equations and modeling it with a quantum computing algorithm.

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