J. Phys. III France
Volume 5, Number 12, December 1995
Page(s) 2101 - 2116
DOI: 10.1051/jp3:1995248
J. Phys. III France 5 (1995) 2101-2116

Dynamical System Analyses of Aperiodic Flow-Induced Oscillations of a Collapsible Tube

C.D. Bertram

Graduate School of Biomedical Engineering, University of New South Wales, Sydney, 2052 Australia

(Received 3 April 1995, revised 27 July 1995, accepted 28 August 1995)

The paper briefly reviews dynamical systems analysis concepts and techniques which were applied to gain knowledge of a particular biomechanical problem, that of self-excited oscillation of flow through the collapsed flexible tubes found in many different parts of the body. The tubes investigated had a relatively thick wall and the through-flow was turbulent. The methods deployed did not suffice to indicate unequivocally the presence of a low-dimensional chaotic attractor amid this high-dimensional or random influence. Chaos has recently been demonstrated in the same system when upstream forcing interacts with otherwise periodic oscillations.

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