Discrete pendulum equation

Kanato Hisano and Nozomu Matsuura

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 214, issue C, 260-271

Abstract: We discretize the equation of simple pendulum from a viewpoint of discrete differential geometry, focusing on its relationship to elastic curves in the Euclidean plane. Then we derive the solutions using Jacobi elliptic functions and discuss the periods of the discretized pendulum.

Keywords: Simple pendulum; Elastic curve; Discrete integrable systems; Discrete differential geometry (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:214:y:2023:i:c:p:260-271

DOI: 10.1016/j.matcom.2023.07.020

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