Features of the dynamics of a system of coupled Josephson junctions with topologically trivial and nontrivial barriers: manifestation of the Majorana mode

The appearance of parametric resonance and the excitation of a longitudinal plasma wave in a system of coupled Josephson junctions with topologically trivial and nontrivial barriers have been demonstrated. The voltage at resonance as a function of the dissipation parameter has a minimum at which the parametric resonance condition changes from $\omega_{J}=2\omega_{LPW}$ to $\omega_{J}=\omega_{LPW}$, where is the Josephson frequency and $\omega_{LPW}$ is the frequency of the formed longitudinal plasma wave. The position of this minimum for the system with nontrivial barriers is shifted from that for the system with trivial barriers. This shift can be used to identify the appearance of Majorana states.