Low-order spectral models of the atmospheric circulation: A survey

DOI10.1007/BF00047114zbMath0648.76033OpenAlexW2883563421MaRDI QIDQ1105439

H. E. de Swart

Publication date: 1988

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047114

zbMATH Keywords

bifurcationsatmospheric circulationchaotic motionsspectral modelslarge-scale atmospheric circulationmid-latitude flow

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (10)

Minimal chaotic models from the Volterra gyrostat ⋮ On the relation between energy conserving low-order models and Hamiltonian systems ⋮ A dynamics approach to a low-order climate model ⋮ Baroclinic Flow and the Lorenz-84 Model ⋮ On the relation between energy-conserving low-order models and a system of coupled generalized Volterra gyrostats with nonlinear feedback ⋮ On the structure of the energy conserving low-order models and their relation to Volterra gyrostat ⋮ Analysis of a six-component atmospheric spectral model: Chaos, predictability and vacillation ⋮ Boundedness, invariant algebraic surfaces and global dynamics for a spectral model of large-scale atmospheric circulation ⋮ On the Budyko-Sellers energy balance climate model with ice line coupling ⋮ Diffusive heat transport in Budyko's energy balance climate model with a dynamic ice line

Uses Software

• AUTO
• AUTO-86

Cites Work

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• Mathematical structure of the singularities at the transitions between steady states in hydrodynamic systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Determining Lyapunov exponents from a time series
• Fixed point limit behavior of N-mode truncated Navier-Stokes equations as N increases
• Local and global behavior near homoclinic orbits
• Determining modes and fractal dimension of turbulent flows
• A quasi-linear theory for rotating flow over topography. Part 1. Steady β-plane channel
• Deterministic Nonperiodic Flow
• Crises, sudden changes in chaotic attractors, and transient chaos

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