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The results of studying the features of the dynamics of a system of charged particles (electrons) in an external magnetic field are described. The considered model practically coincides with the model of an ideal plasma. The electrons of such a plasma rotate at the cyclotron frequency. The rotation of charged particles leads to the emission of electromagnetic waves. The field strength of these radiated waves is very low. Therefore, usually these fields are neglected. In this work, these fields are taken into account. It is shown that with an increase in the oscillator density, oscillatory instability can develop. The dynamics of phase synchronization of these oscillators is traced. The conditions are found under which the oscillatory instability can be suppressed. Key words: oscillators, phase synchronization, plasma, instability