Transition to chaos in Rayleigh-Bénard convection

DOI10.1080/02681118608806022zbMath0646.76058OpenAlexW2063091699MaRDI QIDQ3790828

Enok Palm, Arnljot Skogvang, Morten Tveitereid

Publication date: 1986

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118608806022

zbMATH Keywords

chaotic motionperturbation methodHopf bifurcationsRayleigh-Bénard problemBoussinesq equationsquasiperiodic regimestransverse oscillationsquasiperiodic flownon-periodic motionstationary two-dimensional rollsthird instability

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Basic methods in fluid mechanics (76M99)

Related Items (1)

Zero-Prandtl-number convection

Cites Work

• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• Quantitative universality for a class of nonlinear transformations
• On the nature of turbulence
• Stability of finite-amplitude convection
• Transition from periodic to chaotic thermal convection
• On the stability of steady finite amplitude convection
• The oscillatory instability of convection rolls in a low Prandtl number fluid

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