English

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

Chaotic Dynamics 2024-07-08 v1

Abstract

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.

Cite

@article{arxiv.2407.04112,
  title  = {Balancing a vertical stick on a stochastically driven horizontal plate : a variation on the Kapitza effect},
  author = {Nachiketh M and J K Bhattacharjee},
  journal= {arXiv preprint arXiv:2407.04112},
  year   = {2024}
}

Comments

5 pages, 1 figure

R2 v1 2026-06-28T17:29:32.424Z