  We focus on an $SU(N)$ Yang-Mills gauge theory in $0+1$-dimensions with the
same matrix content as the bosonic part of the BFSS matrix model, but with mass
deformation terms breaking the global $SO(9)$ symmetry of the latter to $SO(5)
\times SO(3) \times {\mathbb Z}_2$. Introducing an ansatz configuration
involving fuzzy four and two spheres with collective time dependence, we
examine the chaotic dynamics in a family of effective Lagrangians obtained by
tracing over the aforementioned ansatz configurations at the matrix levels $N =
\frac{1}{6}(n+1)(n+2)(n+3)$, for $n=1,2,\cdots\,,7$. Through numerical work, we
determine the Lyapunov spectrum and analyze how the largest Lyapunov
exponents(LLE) change as a function of the energy, and discuss how our results
can be used to model the temperature dependence of the LLEs and put upper
bounds on the temperature above which LLE values comply with the
Maldacena-Shenker-Stanford (MSS) bound $2 \pi T $ , and below which it will
eventually be violated.
