RENDERING A SUBCRITICAL HOPF-BIFURCATION SUPERCRITICAL

Authors
Citation
Pk. Yuen et Hh. Bau, RENDERING A SUBCRITICAL HOPF-BIFURCATION SUPERCRITICAL, Journal of Fluid Mechanics, 317, 1996, pp. 91-109
Citations number
26
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
Journal title
ISSN journal
00221120
Volume
317
Year of publication
1996
Pages
91 - 109
Database
ISI
SICI code
0022-1120(1996)317:<91:RASHS>2.0.ZU;2-2
Abstract
It is demonstrated experimentally and theoretically that through the u se of a nonlinear feedback controller, one can render a subcritical Ho pf bifurcation supercritical and thus dramatically modify the nature o f the flow in a thermal convection loop heated from below and cooled f rom 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 temp eratures from desired values at a number of locations inside the loop and then altering the wall heating to counteract such deviations.