  Amplifiers based on Josephson junctions allow for a fast and noninvasive
readout of superconducting qubits. Motivated by the ongoing progress toward the
realization of fault-tolerant qubits based on Majorana bound states, we
investigate the topological counterpart of the Josephson bifurcation amplifier.
We predict that the bifurcation dynamics of a topological Josephson junction
driven in the appropriate parameter regime may be used as an additional tool to
detect the emergence of Majorana bound states.
