Chaotic behavior in a model for grain dynamics

G.l Vasconcelos, F.v Cunha- and J.J.p Veerman

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 1, 261-267

Abstract: A simple model is presented for the motion of a grain down a rough inclined surface. Considering that the surface has a periodic profile and adopting a simple collision law, we arrive at a model in which the dynamics is described by a three-dimensional map. As the surface inclination increases, this map exhibits a transition from a regime of bounded velocity to accelerated motion. In the region of bounded velocity, the original 3D map can be reduced to an effective one-dimensional map that shows several dynamical features (stable fixed points, periodic orbits, and chaotic behavior). A bifurcation diagram for the 1D map is presented.

Keywords: Grain dynamics; Chaos; Granular flow (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:1:p:261-267

DOI: 10.1016/S0378-4371(01)00085-1

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