A model for the transition to baroclinic chaos
type: Item
instance of: scholarly article
title: A model for the transition to baroclinic chaos
zbMATH Open document ID: 0619.76054
DOI: 10.1016/0167-2789(86)90038-2
author: B. George
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: The transition to chaos in a two-layer baroclinic fluid with a slightly different viscosity in each layer is investigated. A low-order model is constructed by truncating the quasi-geostrophic partial differential equations to include one azimuthal wave in each layer while retaining a general zonal-flow correction. When the viscosities are equal the model reduces to a modified form of the Lorenz equations and displays a cusped return map. For slightly different viscosities the transition to chaos follows the Feigenbaum scenario. The return map in the chaotic regime is nearly parabolic and highly contracted. Multiple attractors are found for the same control parameters. The predicted route to chaos is similar to that observed in laboratory experiments, although significant quantitative differences remain.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76E20
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 4005852
zbMATH Keywords: transition to chaos
zbMATH Keywords: two-layer baroclinic fluid
zbMATH Keywords: low-order model
zbMATH Keywords: quasi- geostrophic partial differential equations
zbMATH Keywords: azimuthal wave
zbMATH Keywords: zonal-flow correction
zbMATH Keywords: modified form of the Lorenz equations
zbMATH Keywords: cusped return map
zbMATH Keywords: Feigenbaum scenario
zbMATH Keywords: chaotic regime
zbMATH Keywords: Multiple attractors
zbMATH Keywords: control parameters
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90038-2
OpenAlex ID: W2108185154
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description: scientific article; zbMATH DE number 4005852