Continuous orbit transitions in a one-dimensional inelastic particle system

Authors

Rong Yang, USTC-CityU Joint Advanced Research Centre (Suzhou)
Jonathan J. Wylie, City University of Hong Kong

Document Type

Article

Publication Date

5-1-2010

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.

Identifier

77952583066 (Scopus)

Publication Title

Comptes Rendus Mathematique

External Full Text Location

https://doi.org/10.1016/j.crma.2010.04.016

ISSN

1631073X

First Page

593

Last Page

595

Issue

9-10

Volume

348

Recommended Citation

Yang, Rong and Wylie, Jonathan J., "Continuous orbit transitions in a one-dimensional inelastic particle system" (2010). Faculty Publications. 6331.
https://digitalcommons.njit.edu/fac_pubs/6331