Chaos in a one-dimensional compressible flow

Details Chaos in a one-dimensional compressible flow Chaos in a one-dimensional compressible flow

2007-01-24

arxiv.org/abs/nlin/0701050v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

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.

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