Generalized Lorenz models and their routes to chaos. I: Energy-conserving vertical mode truncations

DOI10.1016/j.chaos.2006.02.013zbMath1127.37054OpenAlexW4237346874WikidataQ61606577 ScholiaQ61606577MaRDI QIDQ2466566

Yanyan Li

Publication date: 15 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.02.013

zbMATH Keywords

conservation of energyLorenz systemsRayleigh-Bénard convectionFourier modesvertical modes

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Convection in hydrodynamic stability (76E06)

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Cites Work

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• A generalized Lorenz system
• Energy-conserving low-order models for three-dimensional Rayleigh-Bénard convection
• Large-scale flow in turbulent convection: a mathematical model
• Bounded Solutions of Finite Dimensional Approximations to the Boussinesq Equations
• A nine-dimensional Lorenz system to study high-dimensional chaos
• Energy-conserving truncations for convection with shear flow
• Deterministic Nonperiodic Flow

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