Chaos in a 1-Dimensional Compressible Flow

Gerig, Austin and Hübler, Alfred (2007) Chaos in a 1-Dimensional Compressible Flow. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 75 (4). 045202(R).

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 nonstationary flow in continuous systems.

Item Type: Article
Keywords: Chaotic Dynamics; Complex Systems
Subject(s): Complexity
Centre: CABDyN Complexity Centre
Date Deposited: 26 Jan 2012 20:39
Last Modified: 23 Oct 2015 14:07
URI: http://eureka.sbs.ox.ac.uk/id/eprint/2729

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