  In this work, we examine the dynamical aspects of the cosmological Mixmaster
model within the framework of non-commutative generalized uncertainty principle
(GUP) theories. The theory is formulated classically by introducing a
well-defined symplectic form that differs from the ordinary one, thereby
inducing a general deformation of the Poisson brackets describing a precise
class of GUP theories. In this general setting, we first investigate the
behavior of the Bianchi I and Bianchi II models using Misner variables. Then,
we study the Bianchi IX model in the Mixmaster approximation, which is
well-known for accurately reproducing the dynamics of the point-particle
Universe approaching the cosmological singularity. We derive the corresponding
Belinsky-Khalatnikov-Lifshitz (BKL) map and then, by selecting a specific GUP
model associated with string theory, we explicitly investigate its resulting
features shaped by the non-commutative GUP scheme. Our findings reveal that the
chaotic and ergodic behavior typically observed in the standard BKL map, which
characterizes the point-Universe's approach to the singularity, is replaced by
quasi-periodic orbits in the parameter space of the theory. This corresponds to
an oscillatory behavior of the Universe's scale factors, dependent on the
initial conditions.
