Departmental Papers (MEAM)

Document Type

Journal Article

Date of this Version



Suggested Citation:
Yuen, Po Ki and Haim H. Bau. (1996). Rendering a subcritical Hopf bifurcation supercritical. Journal of Fluid Mechanics. Vol. 317, p. 91-109.

Copyright 1996 Cambridge University Press.


It is demonstrated experimentally and theoretically that through the use of a nonlinear feedback controller, one can render a subcritical Hopf bifurcation supercritical and thus dramatically modify the nature of the flow in a thermal convection loop heated from below and cooled from above. In particular, we show that the controller can replace the naturally occurring chaotic motion with a stable, periodic limit cycle. The control strategy consists of sensing the deviation of fluid temperatures from desired values at a number of locations inside the loop and then altering the wall heating to counteract such deviations.



Date Posted: 17 August 2010

This document has been peer reviewed.