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 language | English (US) |
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Pages (from-to) | 289-312 |
Number of pages | 24 |
Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
Volume | 5 |
Issue number | 4 |
DOIs | |
State | Published - 2004 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Computational Mechanics
- Modeling and Simulation
- Engineering (miscellaneous)
- Mechanics of Materials
- General Physics and Astronomy
- Applied Mathematics
Keywords
- Discrete dynamical system
- Discrete element simulations
- Experiments
- Galton's board