  Stochastic resonance phenomenon induced by non-Gaussian L\'evy noise in a
second-order bistable system is investigated. The signal-noise-ratio for
different parameters is computed by an efficient numerical scheme. The
influences of the noise intensity, stability index of L\'evy noise and
amplitude of external signal on the occurrence of stochastic resonance
phenomenon are characterized. This implies that a high amplitude of signal not
only enhances the output power spectrum of system but also promotes stochastic
resonance, and a proper adjustment of L\'evy noise intensity in a certain range
enlarges the peak value of output power spectrum which is significant for
stochastic resonance. Moreover, with the optimal damping parameter, lowering
the stability index leads to larger fluctuations of L\'evy noise, and further
reduces the chance of the stochastic resonance.
