  In this paper, we have studied the variation of the chaos bound in two
regions of the torus-like black hole, i.e., the region close to the black hole
horizon and the region at a certain distance from the black hole horizon. The
angular momentum of the particle affects the effective potential and influences
the magnitude of the chaotic behavior of the particle. Therefore, the angular
momentum of particle is important in the study. The angular momentum of a
particle not only affects the particle equilibrium orbital position, but also
affects the Lyapunov exponent. As the angular momentum of the particle
increases, the particle equilibrium position gradually moves away from the
black hole horizon. In the near black hole horizon region, the chaos bound is
not violated, however, at the far black hole horizon region, the chaos bound is
violated. In addition unlike the charged AdS black hole which has a spherical
topology of the horizon, the torus-like black hole has a toroidal topology of
the horizon.
