Experimental, simulation and nonlinear dynamics of Galton's board

Anthony Rosato, Denis Blackmore, Liam Buckley, Christopher Oshman, Mark Johnson

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)289-312
Number of pages24
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume5
Issue number4
DOIs
StatePublished - Jan 1 2004

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Modeling and Simulation
  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Applied Mathematics

Keywords

  • Discrete dynamical system
  • Discrete element simulations
  • Experiments
  • Galton's board

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