Balancing a vertical stick on a stochastically driven horizontal plate : a variation on the Kapitza effect

Fuente: arXiv
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Autores principales: M, Nachiketh, Bhattacharjee, J K
Formato: Preprint
Publicado: 2024
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author M, Nachiketh
Bhattacharjee, J K
author_facet M, Nachiketh
Bhattacharjee, J K
contents We consider the trick of balancing a vertical stick on a horizontal plate. It is shown that the horizontal stochastic driving of the point of contact can prevent the stick from falling provided that the stochasticity is that of a coloured noise with a correlation strength stronger than a critical value.
format Preprint
id arxiv_https___arxiv_org_abs_2407_04112
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Balancing a vertical stick on a stochastically driven horizontal plate : a variation on the Kapitza effect
M, Nachiketh
Bhattacharjee, J K
Chaotic Dynamics
We consider the trick of balancing a vertical stick on a horizontal plate. It is shown that the horizontal stochastic driving of the point of contact can prevent the stick from falling provided that the stochasticity is that of a coloured noise with a correlation strength stronger than a critical value.
title Balancing a vertical stick on a stochastically driven horizontal plate : a variation on the Kapitza effect
topic Chaotic Dynamics
url https://arxiv.org/abs/2407.04112