The upward-driven disk, a steadily forced chaotic pendulum

  • Leo Maas*
  • *Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Editor's Note: A simple plastic disk, wedged between two wheels and driven upward by a small electric motor, demonstrates remarkably complex behavior. By varying the initial conditions, one can observe steady rotation, periodic motion, or chaotic motion. This paper introduces a simple model for the behavior that also points out how it can mimic the solutions of the Lorenz equations, which are frequently used to describe fluid convection. There are still plenty of open questions, especially regarding the best model for frictional damping, and the easy and inexpensive construction could make this the starting point for many student projects.

Original languageEnglish
Pages (from-to)620-632
Number of pages13
JournalAmerican Journal of Physics
Volume93
Issue number8
DOIs
Publication statusPublished - 1 Aug 2025

Bibliographical note

Publisher Copyright:
© 2025 Author(s).

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