The Upward-Driven Disk, a Steadily Forced Chaotic Pendulum

An "upward-driven disk" is a novel mechanical device built from LEGO parts. A circular disk is suspended from the point where it is sandwiched between two wheels, making it free to oscillate as a pendulum, but the location of that suspension point on the disk changes with time due to a steady upward driving force applied by rotation of one of the wheels. The pendulum can dynamically flip between hanging downward and being inverted. Depending on the upward drive and the initial conditions, the disk can exhibit steady rotation, periodic motion, or chaotic motion (and some of these for the same drive). This device serves as an easy-to-visualize analog of chaotic phenomena in other physical systems. Most notably, the upward driven disk mimics a simplified version of the celebrated Lorenz equations that are frequently used to describe fluid convection.

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Publication Details

Journal
ArXiv.org
Published
2025-05-23
Primary Topic
Chaos control and synchronization
Type
article
Field-Weighted Citation Impact
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article

The Upward-Driven Disk, a Steadily Forced Chaotic Pendulum

ArXiv.org
Chaos control and synchronization
article

The Upward-Driven Disk, a Steadily Forced Chaotic Pendulum

article en

Abstract

An "upward-driven disk" is a novel mechanical device built from LEGO parts. A circular disk is suspended from the point where it is sandwiched between two wheels, making it free to oscillate as a pendulum, but the location of that suspension point on the disk changes with time due to a steady upward driving force applied by rotation of one of the wheels. The pendulum can dynamically flip between hanging downward and being inverted. Depending on the upward drive and the initial conditions, the disk can exhibit steady rotation, periodic motion, or chaotic motion (and some of these for the same drive). This device serves as an easy-to-visualize analog of chaotic phenomena in other physical systems. Most notably, the upward driven disk mimics a simplified version of the celebrated Lorenz equations that are frequently used to describe fluid convection.

ArXiv.org
Utrecht University (NL)
Openalex Percentile: Top 53%
Chaos control and synchronization
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