A gyrostatic low-order model for the El Ñino-southern oscillation
type: Item
instance of: scholarly article
title: A gyrostatic low-order model for the El Ñino-southern oscillation
zbMATH Open document ID: 1367.93051
DOI: 10.1155/2017/6176045
author: Alexander Gluhovsky
published in: Complexity
publication date: 2017-08-03T00:00:00Z
review text: Summary: The paper demonstrates that, similar to other important models of atmospheric phenomena, beginning with the celebrated Lorenz model of the Rayleigh-Bénard convection, the Vallis low-order model (LOM) of the El Ñino-southern oscillation admits a gyrostatic form and discusses how gyrostatic LOMs may offer a general framework for deriving effective physically sound models for atmospheric dynamics and time series analysis. Any such model has a quadratic integral of motion (interpreted as some form of energy), which eliminates unphysical behaviors that have often plagued atmospheric LOMs and paves way for developing Hamiltonian LOMs. Restricting LOMs to a gyrostatic form also helps to design LOMs of optimum size and provides a modular construction of LOMs using gyrostats as elementary building blocks.
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 86A10
Mathematics Subject Classification ID: 37M10
zbMATH DE Number: 6755987
zbMATH Keywords: atmospheric phenomena
zbMATH Keywords: Lorenz model
zbMATH Keywords: Rayleigh-Bénard convection
zbMATH Keywords: Vallis low-order model (LOM)
zbMATH Keywords: El Ñino-southern oscillation
zbMATH Keywords: atmospheric dynamics
zbMATH Keywords: time series analysis
zbMATH Keywords: Hamiltonian LOMs
Wikidata QID: Q59142929
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6176045
OpenAlex ID: W2577304751
cites work: Torsion and attractors in the Kolmogorov hydrodynamical system
cites work: A unified view of Kolmogorov and Lorenz systems
cites work: Deterministic Nonperiodic Flow
cites work: Q5578919
cites work: Q3036749
cites work: Rayleigh–Bénard convection as a Nambu-metriplectic problem
cites work: Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures
cites work: Nambu representation of an extended Lorenz model with viscous heating
cites work: Dissipation in Lie-Poisson systems and the Lorenz-84 model
cites work: Energy cycle for the Lorenz attractor
cites work: Dynamics of Multibody Systems
cites work: The structure of energy conserving low-order models
cites work: Energy-conserving low-order models for three-dimensional Rayleigh-Bénard convection
cites work: Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
cites work: Q3434614
cites work: Existence criterion of homoclinic trajectories in the Glukhovsky-Dolzhansky system
cites work: Effective low-order models for atmospheric dynamics and time series analysis
cites work: Singular-hyperbolic attractors are chaotic
cites work: Central limit theorems and invariance principles for Lorenz attractors
cites work: Robust exponential decay of correlations for singular-flows
cites work: Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations
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description: scientific article; zbMATH DE number 6755987