Infinite period bifurcation due to imperfections in rotating thermal convection
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...
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2099.1/12666 |
| Acceso en línea: | https://hdl.handle.net/2099.1/12666 |
| Access Level: | acceso abierto |
| Palabra clave: | Differentiable dynamical systems Bifurcations Dynamical systems theory Rotating convection Imperfections Sistemes dinàmics diferenciables Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| Sumario: | 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. |
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