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  Suppression and creation of chaos in a periodically forced Lorenz system.

Franz, M. (1995). Suppression and creation of chaos in a periodically forced Lorenz system. Physical Review, E 52, 3558-3565.

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 Urheber:
Franz, MO1, Autor           
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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 Zusammenfassung: Periodic forcing is introduced into the Lorenz model to study the effects of time-dependent forcing on the behavior of the system. Such a nonautonomous system stays dissipative and has a bounded attracting set which all trajectories finally enter. The possible kinds of attracting sets are restricted to periodic orbits and strange attractors. A large-scale survey of parameter space shows that periodic forcing has mainly three effects in the Lorenz system depending on the forcing frequency: (i) Fixed points are replaced by oscillations around them; (ii) resonant periodic orbits are created both in the stable and the chaotic region; (iii) chaos is created in the stable region near the resonance frequency and in periodic windows. A comparison to other studies shows that part of this behavior has been observed in simulations of higher truncations and real world experiments. Since very small modulations can already have a considerable effect, this suggests that periodic processes such as annual or diurnal cycles should not be omitted even in simple climate models.

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 Datum: 1995
 Publikationsstatus: Erschienen
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 Ort, Verlag, Ausgabe: -
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 Identifikatoren: BibTex Citekey: 623
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Titel: Physical Review
Genre der Quelle: Zeitschrift
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Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: E 52 Artikelnummer: - Start- / Endseite: 3558 - 3565 Identifikator: -