Infinite period bifurcation due to imperfections in rotating thermal convection
Tutor / Supervisor
Student
López Alonso, Jose Manuel
Document type
Master thesis
Date
2011
rights
Open Access
Publisher
Universitat Politècnica de Catalunya
UPCommons
Abstract
A pinning area is a band of finite width where rotating waves with precession frequences near zero turn into steady non-axisymmetric solutions. Dynamical systems theory suggests that any imperfection breaking the SO(2) invariance of a problem must result in the formation of such a region. Numerical simulations of rotating convection in a finite cylinder have been made breaking the symmetry by imposing a linear profile of
temperature at the top lid in order to find the aforementioned steady solutions region.
