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| Titel |
The mechanism of non-linear photochemical oscillations in the mesopause region |
| VerfasserIn |
M. Yu. Kulikov, O. L. Vadimova, S. K. Ignatov, A. M. Feigin |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 19, no. 5 ; Nr. 19, no. 5 (2012-09-06), S.501-512 |
| Datensatznummer |
250014242
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| Publikation (Nr.) |
 copernicus.org/npg-19-501-2012.pdf |
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| Zusammenfassung |
| The mechanism of generation of 2-day photochemical oscillations in the
mesopause region (80–90 km) has been studied analytically. The initial
system of equations of chemical kinetics describing the temporal evolution
of O, O3, H, OH and HO2 concentrations with allowance for diurnal
variations of solar radiation has been simplified successively to a system
of two nonlinear first-order time equations with sinusoidal external
forcing. The obtained system has a minimum number of terms needed for
generation of 2-day oscillations. Linearization of this system near the
period-doubling threshold permits separating explicitly a particular case of
the Mathieu equation ẍ + α · sin ω t · x = 0, in
which the first sub-harmonic (ω/2) of the exciting force starts to
grow exponentially when the amplitude of external forcing (α)
exceeds its threshold value. Finally, a system of two simplest differential
equations with power-law nonlinearity has been derived that allows
analytical investigation of the effect of arising of reaction-diffusion
waves in the mesospheric photochemical system. |
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