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).
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.
|Keywords:||Chaotic Dynamics; Complex Systems|
|Centre:||CABDyN Complexity Centre|
|Date Deposited:||26 Jan 2012 20:39|
|Last Modified:||23 Oct 2015 14:07|
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