Rigid particle systems and their billiard models

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January & February 2008, 22(1&2): 111-130. doi: 10.3934/dcds.2008.22.111

Rigid particle systems and their billiard models

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Received July 2007 Revised September 2007 Published June 2008

Abstract
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Elsewhere [1] we have shown that mechanical systems involving free motion with elastic collisions can be modeled as billiards. In this paper we explore what sorts of billiard systems arise in this way, and we explore some of the dynamical properties that can be determined from modeling the systems as billiards.

Keywords: rigid particle systems., billiards.

Mathematics Subject Classification: Primary: 37D50; Secondary: 37A6.

Citation: David Cowan. Rigid particle systems and their billiard models. Discrete & Continuous Dynamical Systems - A, 2008, 22 (1&2) : 111-130. doi: 10.3934/dcds.2008.22.111

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