Term of Award

Spring 2007

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (open access)


Department of Mathematical Sciences

Committee Chair

Yan Wu

Committee Member 1

Xiezhang Li

Committee Member 2

Viktor Maymeskul

Committee Member 3

Xiao-jun Wang

Committee Member 3 Email



The objective of this work is to design a quotient controller to stabilize a chaotic flow in a single loop thermosyphon system with a high heat index. The thermosyphon loop is heated from below and cooled from above, which causes time-dependent chaotic flow when the external heat index is above a threshold value. Our goal was to stabilize the fluid into a convective uni-directional flow well into the chaotic regime. We also investigated adding a tracking integrator to the thermosyphon system to allow tracking to a specific temperature.