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Nonlinear analysis of the gradient drift instability

Rafael González and Matı́as de la Vega

Physica A: Statistical Mechanics and its Applications, 1998, vol. 260, issue 3, 294-300

Abstract: 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 1km 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.

Keywords: Equatorial electrojet; Drift instability; Nonlinear three-mode model; Lotka–Volterra equations (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:260:y:1998:i:3:p:294-300

DOI: 10.1016/S0378-4371(98)00336-7

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