Noise-induced elimination of sticking and stepwise bounce dynamics in a bouncing-ball system

Naohiko Inaba, Shu Karube, Munehisa Sekikawa and Takuji Kousaka

Chaos, Solitons & Fractals, 2026, vol. 210, issue P2

Abstract: In prior studies (Karube et al., 2020; 2022), a classical bouncing-ball system driven by an oscillating table was shown to exhibit a stepwise evolution of the maximum bounce height as the driving frequency was increased linearly. It was notable in those works that the experimentally observed maximum height was always higher than the predictions of simulations and the numerical work also presented unphysical sticking solutions where the ball remained stationary with respect to the oscillating table. To address these discrepancies, we introduce a noise-augmented coefficient of restitution into the model. This modification not only eliminates the unphysical sticking solutions but also reproduces the experimental results more faithfully than the model without noise. The methodology presented in this work may prove to be essential to the accurate simulation and full understanding of other mechanical oscillator systems that exhibit non-smooth bifurcations.

Keywords: Bouncing-ball system; Noise-augmented modeling; Sticking solutions; Stepwise bifurcation (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077926008374
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:210:y:2026:i:p2:s0960077926008374

DOI: 10.1016/j.chaos.2026.118696

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().