Nonlinear analysis of the gradient drift instability

An analytical study of the gradient drift instability in the equatorial electrojet of wavelengths in the order of one kilometer is presented. Different mechanisms, linear, non-local and turbulent, are found in the literature to explain the predominance of the 1 km wavelength in the electrojet. In th...

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Detalles Bibliográficos
Autores principales:	Gonzalez, Rafael, de la Vega, Matías
Publicado:	1998
Materias:	Drift instability Equatorial electrojet Lotka-Volterra equations Nonlinear three-mode model Mathematical models Nonlinear equations Stability Jets
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v260_n3-4_p294_Gonzalez http://hdl.handle.net/20.500.12110/paper_03784371_v260_n3-4_p294_Gonzalez
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_03784371_v260_n3-4_p294_Gonzalez
record_format	dspace
spelling	paper:paper_03784371_v260_n3-4_p294_Gonzalez2023-06-08T15:39:53Z Nonlinear analysis of the gradient drift instability Gonzalez, Rafael de la Vega, Matías Drift instability Equatorial electrojet Lotka-Volterra equations Nonlinear three-mode model Mathematical models Nonlinear equations Stability Drift instability Equatorial electrojet Jets An analytical study of the gradient drift instability in the equatorial electrojet of wavelengths in the order of one kilometer is presented. Different mechanisms, linear, non-local and turbulent, are found in the literature to explain the predominance of the 1 km wavelength in the electrojet. In the present work a simplified model is proposed in which the nonlinear evolution of three coupled modes is followed. By considering that one of the modes attains the stationary state, the evolution of the other two is obtained, and it is found that they follow equations of the Lotka-Volterra type. A stable stationary nonlinear solution for these equations is also found, and the conditions under which periodic solutions are possible are analyzed. © 1998 Elsevier Science B.V. All rights reserved. Fil:González, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:De La Vega, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v260_n3-4_p294_Gonzalez http://hdl.handle.net/20.500.12110/paper_03784371_v260_n3-4_p294_Gonzalez
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Drift instability Equatorial electrojet Lotka-Volterra equations Nonlinear three-mode model Mathematical models Nonlinear equations Stability Drift instability Equatorial electrojet Jets
spellingShingle	Drift instability Equatorial electrojet Lotka-Volterra equations Nonlinear three-mode model Mathematical models Nonlinear equations Stability Drift instability Equatorial electrojet Jets Gonzalez, Rafael de la Vega, Matías Nonlinear analysis of the gradient drift instability
topic_facet	Drift instability Equatorial electrojet Lotka-Volterra equations Nonlinear three-mode model Mathematical models Nonlinear equations Stability Drift instability Equatorial electrojet Jets
description	An analytical study of the gradient drift instability in the equatorial electrojet of wavelengths in the order of one kilometer is presented. Different mechanisms, linear, non-local and turbulent, are found in the literature to explain the predominance of the 1 km wavelength in the electrojet. In the present work a simplified model is proposed in which the nonlinear evolution of three coupled modes is followed. By considering that one of the modes attains the stationary state, the evolution of the other two is obtained, and it is found that they follow equations of the Lotka-Volterra type. A stable stationary nonlinear solution for these equations is also found, and the conditions under which periodic solutions are possible are analyzed. © 1998 Elsevier Science B.V. All rights reserved.
author	Gonzalez, Rafael de la Vega, Matías
author_facet	Gonzalez, Rafael de la Vega, Matías
author_sort	Gonzalez, Rafael
title	Nonlinear analysis of the gradient drift instability
title_short	Nonlinear analysis of the gradient drift instability
title_full	Nonlinear analysis of the gradient drift instability
title_fullStr	Nonlinear analysis of the gradient drift instability
title_full_unstemmed	Nonlinear analysis of the gradient drift instability
title_sort	nonlinear analysis of the gradient drift instability
publishDate	1998
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v260_n3-4_p294_Gonzalez http://hdl.handle.net/20.500.12110/paper_03784371_v260_n3-4_p294_Gonzalez
work_keys_str_mv	AT gonzalezrafael nonlinearanalysisofthegradientdriftinstability AT delavegamatias nonlinearanalysisofthegradientdriftinstability
_version_	1768544781073383424

Nonlinear analysis of the gradient drift instability

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