  The influence of the angular momentum of the particle on the Lyapunov
exponent has been studied. In this paper, we investigate influences of the
charge and angular momentum of a particle around non-extremal and extremal
Reissner-Nordstr\"om black holes with a scalar hair on the exponent, and find
spatial regions where the chaos bound is violated for certain values of the
black holes' parameters. The exponent is gotten by calculating the eigenvalue
of a Jacobian matrix in a phase space. The violation occurs from the
nea-horizon regions to certain distances from the event horizons. When the
charge or angular momentum of the particle are fixed at certain values, the
spatial regions increase with the increase of the hair parameter's value when
the black hole's charge is fixed, and with the increase of the black hole's
charge when the hair parameter is fixed. For the extremal black hole, the
violation can occur very close to the horizon when the particle's charge is
large enough.
