  We use holographic methods to study several chaotic properties of a super
Yang-Mills theory at temperature $T$ in the presence of a background magnetic
field of constant strength $\mathcal{B}$. The field theory we work on has a
renormalization flow between a fixed point in the ultraviolet and another in
the infrared, occurring in such a way that the energy at which the crossover
takes place is a monotonically increasing function of the dimensionless ratio
$\mathcal{B}/T^2$. By considering shock waves in the bulk of the dual
gravitational theory, and varying $\mathcal{B}/T^2$, we study how several
chaos-related properties of the system behave while the theory they live in
follows the renormalization flow. In particular, we show that the entanglement
and butterfly velocities generically increase in the infrared theory, violating
the previously suggested upper bounds but never surpassing the speed of light.
We also investigate the recent proposal relating the butterfly velocity with
diffusion coefficients. We find that electric diffusion constants respect the
lower bound proposed by Blake. All our results seam to consistently indicate
that the global effect of the magnetic field is to strengthen the internal
interaction of the system.
