Transitions continues entre orbites dans un système de particules inélastique unidimensionnel

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageFrench
Pages (from-to)593-595
Journal / PublicationComptes Rendus Mathematique
Volume348
Issue number9-10
Publication statusPublished - May 2010

Abstract

Continuous transitions between different periodic orbits in a one-dimensional inelastic particle system with two particles are investigated. We explain why continuous transitions that occur when adding or subtracting a single collision are, generically, of co-dimension 2. However, we show that there are an infinite set of degenerate transitions of co-dimension 1. We provide an analysis that gives a simple criteria to classify which transitions are degenerated purely from the discrete set of collisions that occur in the orbits. © 2010.