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Weierstrass elliptic functions for the pendulum

Published 19 Jun 2023 in math.DS and math.CA | (2306.10653v2)

Abstract: The mathematical pendulum is traditionally solved using a Jacobi elliptic functions. We solve it here using the Weierstrass elliptic function. Every initial condition of the pendulum produces an elliptic curve and a point which by the dynamics of the pendulum is translated linearly on the torus.

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