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The dynamics of the oscillator system is investigated. The conditions under which this dynamics becomes unstable are determined. In particular, it is shown that plasma in constant magnetic field becomes unstable if its density exceeds a certain critical value. The role of chaotic regimes on confinement of particles (oscillators) in confining potentials is studied. Keywords: linear oscillators, nonlinear oscillators, ensembles of oscillators, instability, dynamic chaos, plasma