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On a 3-component truncated model of a barotropic non-divergent rotating atmosphere in spherical geometry

Über ein abgeschnittenes 3-Komponenten-Modell einer barotropen nicht-divergierend rotierenden Atmosphäre in sphärischer Geometrie

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Summary

The set of ordinary differential equations of the fifth order describing the triadic interaction of planetary waves and zonal flow in a rotating barotropic atmosphere is solved analytically for all initial configurations of mode amplitudes. Periodic and aperiodic trajectories in the phase space are found to occur with oscillation periods depending non-linearly on the mode of amplitudes.

Zusammenfassung

Der Satz von gewöhnlichen Differentialgleichungen fünfter Ordnung, die die triadische Wechselwirkung planetarer Wellen und einer zonalen Strömung in einer rotierenden barotropen Atmosphäre beschreiben, wird für alle Anfangsbedingungen der Amplituden analytisch gelöst. Es wurde gefunden, daß periodische und aperiodische Trajektorien im Phasenbereich mit nichtlinearen von der Form der Amplituden abhängigen Schwingungs-perioden vorkommen.

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Authors and Affiliations

  1. Istituto di Fisica A. Righi, Università di Bologna, 1-40126, Bologna, Italy

    R. Lupini & C. Pellacani

  2. Dipartimento di Matematica, Facoltà di Ingegneria, Universitä di Ancona, Ancona, Italy

    R. Lupini & C. Pellacani

Authors
  1. R. Lupini
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  2. C. Pellacani
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Lupini, R., Pellacani, C. On a 3-component truncated model of a barotropic non-divergent rotating atmosphere in spherical geometry. Arch. Met. Geoph. Biocl. A. 32, 71–77 (1983). https://doi.org/10.1007/BF02272711

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  • DOI: https://doi.org/10.1007/BF02272711

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