On the global stability of the forced motions of a liquid within an ellipsoid (Q583014)
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scientific article; zbMATH DE number 4131814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the global stability of the forced motions of a liquid within an ellipsoid |
scientific article; zbMATH DE number 4131814 |
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On the global stability of the forced motions of a liquid within an ellipsoid (English)
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1988
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Under certain conditions the rotation of the liquid in a liquid gyroscope around the central axis of an ellipsoid loses stability. This occurs, for example, in the case when the moment of the external forces directed along the central axis exceeds a certain critical (bifurcational) value. The aim of this paper is to obtain the sufficient conditions for global asymptotic stability which, at the same time, give rise to stationary motions of the liquid around the principal axes of the ellipsoid.
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liquid gyroscope
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