Abstract
Abstract The paper presents a short summary of basic instabilities in stellar systems, namely: the Jeans, bar-mode and fire-hose (bending) instabilities. Particularly, a variety of Jeans-like instabilities in collisionless systems is emphasized as well as a great number of functions which Jeans instability carries out here. Both these circumstances make the properties of stability in stellar and gaseous systems very different from each other. Then the classification of bar-mode instabilities according to a ratio of the bar pattern angular velocity and the maximal precession speed of nearly-circular stellar orbits is proposed. Some agruments in favor of slow or moderate bars in comparison with fast bars are given. Certain difficulties concerning the current work on the problem of the bending instability are noted.
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