Experimental, simulation and nonlinear dynamics of Galton's board

Authors

Anthony D. Rosato, Newark College of Engineering
Denis Blackmore, New Jersey Institute of Technology
Liam Buckley
Christopher Oshman, Newark College of Engineering
Mark Johnson, Newark College of Engineering

Document Type

Article

Publication Date

1-1-2004

Abstract

An investigation of the motion of a single particle rolling down a Galton's board is carried out using experiments, simulations and discrete dynamical models. The results obtained from the experimental simulation and discrete dynamical system approaches with regard to such properties as lateral diffusion coefficients and end distributions are found to be in reasonably good agreement. In addition, the existence of chaotic regimes is indicated by the experiments and simulations, and proven using the simple dynamical models for certain ranges of the key system parameters.

Identifier

10944229144 (Scopus)

Publication Title

International Journal of Nonlinear Sciences and Numerical Simulation

External Full Text Location

https://doi.org/10.1515/IJNSNS.2004.5.4.289

ISSN

15651339

First Page

289

Last Page

312

Issue

4

Volume

5

Recommended Citation

Rosato, Anthony D.; Blackmore, Denis; Buckley, Liam; Oshman, Christopher; and Johnson, Mark, "Experimental, simulation and nonlinear dynamics of Galton's board" (2004). Faculty Publications. 20515.
https://digitalcommons.njit.edu/fac_pubs/20515