Chaos in a one-dimensional compressible flow

Austin Gerig; Alfred Hubler

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arXiv · nlin/0701050

Chaos in a one-dimensional compressible flow

Austin Gerig·Alfred Hubler

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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.

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Austin Gerig, Alfred Hubler. 2007-01-24. Chaos in a one-dimensional compressible flow. https://arxiv.org/abs/nlin/0701050

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