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Bifurcations and instabilities in a low-order discrete model of rotating fluid

Бифуркации и неустойчивости в дискретной модели вращающейся жидкости

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Il Nuovo Cimento B (1971-1996)

Summary

In a low-order model of barotropic, quasi-geostrophic flow on a rotating atmosphere, representing an arbitrary forced zonal flow interacting with two waves, hysteretic cycles are shown and steady and periodic regimes coexisting with chaotic regimes, along suitable paths in the space of the control parameters, forcing intensity and absolute rotation.

Riassunto

In un modello spettrale di flusso barotropico quasi geostrofico su atmosfera rotante, che rappresenta l'interazione tra un campo zonale arbitrario forzato esternamente e un campo diadico d'onda, si studiano le biforcazioni dell'equilibrio zonale e delle onde non zonali, si individuano cicli d'isteresi nello spazio dei parametri di controllo (forzatura e rotazione solida), ed opportuni domini in cui attrattori stazionari e periodici coesistono con attrattori caotici.

Резюме

В спектральной модели баротропного, квази-геострофического потока на вращающейся атмосфере, которая представляет взаимодействие между произвольным зональным вынужденным потоком и полем двух волн, обнаруживаются гистерезисные циклы. Стационарные и периодические режимы сосуществуют с хаотическими режимами, вдоль соответствующих траекторий в пространстве контролируемых параметров (интенсивность взаимодействия и абсолютное вращение).

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This work was partly supported by the CNR through the Gruppo Nazionale di Fisica Matematica.

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Gardini, L., Lupini, R. Bifurcations and instabilities in a low-order discrete model of rotating fluid. Nuov Cim B 100, 121–134 (1987). https://doi.org/10.1007/BF02829780

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  • DOI: https://doi.org/10.1007/BF02829780

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