On the relation between Rayleigh-Bénard convection and Lorenz system

DOI10.1016/j.chaos.2005.08.010zbMath1084.76026OpenAlexW1986495649MaRDI QIDQ813684

W. G. Price, Zhi Min Chen

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.010

zbMATH Keywords

chaotic attractor

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Convection in hydrodynamic stability (76E06)

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Cites Work

• Unnamed Item
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• Dynamic bifurcation and stability in the Rayleigh-Bénard convection
• The connection between fluid and elastostatical turbulence
• A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors
• The Lorenz equations: bifurcations, chaos, and strange attractors
• On the nature of turbulence
• Period Three Implies Chaos
• Deterministic Nonperiodic Flow