  We study numerically a discrete, nonlinear lattice, which is formed by a
chain of pendula submitted to a harmonic-driving source with constant amplitude
and parametrical excitation. A supratransmission phenomenon is obtained after
the derivation of the homoclinic threshold for the case when the lattice is
driven at one edge. The lattice traps gap solitons when the chain is subjected
to a periodic horizontal displacement of the pivot. Discrete rogue waves are
generated for the case when the pendulum is simultaneously driven and shaken.
This work may pave the way for experimental generation of discrete rogue waves
within simple devices.
