Heteroclinic behavior in rotating Rayleigh-Bénard convection

Content Provider	Semantic Scholar
Author	Demircan, Ayhan Scheel, Stefan
Copyright Year	2007
Abstract	We investigate numerically the appearance of heteroclinic behavior in a three-dimensional, buoyancy-driven fluid layer with stress-free top and bottom boundaries, a square horizontal periodicity with a small aspect ratio, and rotation at low to moderate rates about a vertical axis. The Prandtl number is 6.8. If the rotation is not too slow, the skewed-varicose instability leads from stationary rolls to a stationary mixed-mode solution, which in turn loses stability to a heteroclinic cycle formed by unstable roll states and connections between them. The unstable eigenvectors of these roll states are also of the skewed-varicose or mixed-mode type and in some parameter regions skewedvaricose like shearing oscillations as well as square patterns are involved in the cycle. Always present weak noise leads to irregular horizontal translations of the convection pattern and makes the dynamics chaotic, which is verified by calculating Lyapunov exponents. In the nonrotating case the primary rolls lose, depending on the aspect ratio, stability to traveling waves or a stationary square pattern. We also study the symmetries of the solutions at the ∗Present address: Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, MaxWien-Platz 1, D-07743 Jena, Germany
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.agnld.uni-potsdam.de/~seehafer/PREPRINTS.DIR/dss99.pdf
Language	English
Access Restriction	Open
Subject Keyword	Apache Axis Aspect Ratio Axis vertebra Chaos theory Control theory Convection Instability Language Translations Lyapunov fractal Mixed-signal integrated circuit Numerical analysis Population Parameter Quasiperiodicity REM Sleep Behavior Disorder Rayleigh–Ritz method Solutions Stationary process Unstable Medical Device Problem
Content Type	Text
Resource Type	Article