Numerical simulation of collapsible-tube flows with sinusoidal forced oscillations.
Collapsible-tube flow with self-excited oscillations has been extensively investigated. Though physiologically relevant, forced oscillation coupled with self-excited oscillation has received little attention in this context. Based on an ODE model of collapsible-tube flow, the present study applies modern dynamics methods to investigate numerically the responses of forced oscillation to a limit-cycle oscillation which has topological characteristics discovered in previous unforced experiments. A devil's staircase and period-doubling cascades are presented with forcing frequency and amplitude as control parameters. In both cases, details are provided in a bifurcation diagram. Poincaré sections, a frequency spectrum and the largest Lyapunov exponents verify the existence of chaos in some circumstances. The thin fractal structure found in the strange attractors is believed to be a result of high damping and low stiffness in such systems.
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Graduate School of Biomedical Engineering, University of New South Wales, Sydney, Australia.
Bertram
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D000818:Animals; D001826:Body Fluids; D008322:Mammals; D008433:Mathematics; D008954:Models, Biological; D009991:Oscillometry