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Titel |
Toward an understanding of the nonlinear nature of atmospheric photochemistry: Origin of the complicated dynamic behaviour of the mesospheric photochemical system |
VerfasserIn |
I. B. Konovalov, 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 ; 7, no. 1/2 ; Nr. 7, no. 1/2, S.87-104 |
Datensatznummer |
250004245
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Publikation (Nr.) |
copernicus.org/npg-7-87-2000.pdf |
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Zusammenfassung |
The methods of nonlinear dynamics are used to reveal the
origin of complicated dynamic behaviour (CDB) of a dynamic model of the
mesospheric photochemical system (PCS) perturbed by diurnal variations in
photolysis rates. We found that CDB appearance during the multi-day evolution is
unambiguously determined by two peculiarities in the model behaviour during its
24-hours evolution. These peculiarities are the presence of a stage of abrupt
changes in reagent concentrations and the "humped" dependence of the
end-night atomic hydrogen concentrations on those at the beginning of the night.
Using a successive analysis we found that these two peculiarities are, in turn,
conditioned by the specific features of the chemical processes involved in the
model, namely, by the catalytic cycle whose net rate is independent of the
concentration of the destroyed species (here, it is atomic oxygen). We believe
that similar peculiarities inherent in other atmospheric PCSs indicate that
under appropriate conditions they may also demonstrate CDB. We identified the
mechanism of the CDB appearance and described it in two ways. The first one
reveals a sequence of the processes causing the exponential (on the average)
growth of a perturbation of the solution with time. In particular, we found that
the behaviour of small perturbations of an arbitrary solution of model equations
is identical to the behaviour of a linear oscillator excited parametrically. The
second way shows the mechanism of CDB appearance by means of 1-dimensional
mapping, which is, basically, the same as the well-known Feigenbaum mappings. |
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