Chaos in a one-dimensional compressible flow
Chaotic Dynamics
2007-05-23 v1
Abstract
We study the dynamics of a one-dimensional discrete flow with open boundaries - a series of moving point particles connected by ideal springs. These particles flow towards an inlet at constant velocity, pass into a region where they are free to move according to their nearest neighbor interactions, and then pass an outlet where they travel with a sinusoidally varying velocity. As the amplitude of the outlet oscillations is increased, we find that the resident time of particles in the chamber follows a bifurcating (Feigenbaum) route to chaos. This irregular dynamics may be related to the complex behavior of many particle discrete flows or is possibly a low-dimensional analogue of non-stationary flow in continuous systems.
Cite
@article{arxiv.nlin/0701050,
title = {Chaos in a one-dimensional compressible flow},
author = {Austin Gerig and Alfred Hubler},
journal= {arXiv preprint arXiv:nlin/0701050},
year = {2007}
}
Comments
4 pages, 3 figures