A classification of instabilities in spatially restricted systems is presented, which generalizes a classification considered in book [1]. It is shown that, if a system has no active boundaries and the waves are not amplified in an infinite homogeneous medium, which corresponds to the absence of solutions of the dispersion equation with the negative imaginary part of the wave vector at the real frequency, then only nonamplified instabilities with a nonlocal resonance can be developed. The development of nonamplified instability is considered in a spatially restricted system through which a flux propagates, when along with natural waves the excitation of the waves of fluxes playing a key role in the development of the instability is taken into account.
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