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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03784371_v260_n3-4_p294_Gonzalez |
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todo:paper_03784371_v260_n3-4_p294_Gonzalez2023-10-03T15:32:32Z Nonlinear analysis of the gradient drift instability González, R. De La Vega, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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 González, R. De La Vega, M. 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. |
| format |
JOUR |
| author |
González, R. De La Vega, M. |
| author_facet |
González, R. De La Vega, M. |
| author_sort |
González, R. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_03784371_v260_n3-4_p294_Gonzalez |
| work_keys_str_mv |
AT gonzalezr nonlinearanalysisofthegradientdriftinstability AT delavegam nonlinearanalysisofthegradientdriftinstability |
| _version_ |
1807323831070621696 |