A physical rattleback is a toy that can exhibit counter-intuitive behavior when spun on a horizontal plate. Most notably, it can spontaneously reverse its direction of rotation. Using a standard mathematical model of the rattleback, we prove the existence of reversing motion, reversing motion combined with rolling, and orbits that exhibit such behavior repeatedly.

Some Reversing Orbits for a Rattleback Model

Arioli G.;
2022-01-01

Abstract

A physical rattleback is a toy that can exhibit counter-intuitive behavior when spun on a horizontal plate. Most notably, it can spontaneously reverse its direction of rotation. Using a standard mathematical model of the rattleback, we prove the existence of reversing motion, reversing motion combined with rolling, and orbits that exhibit such behavior repeatedly.
2022
Computer assisted proof
Heteroclinic orbit
Nonholonomic system
Periodic orbits
Rattleback
Rigid body
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1212135
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