  We prove existence and uniqueness of equilibrium states for a family of
partially hyperbolic systems, with respect to Holder continuous potentials with
small variation. The family comes from the projection, on the center-unstable
direction, of a family of partially hyperbolic horseshoes introduced in
[D\'iaz,L., Horita,V., Rios, I., Sambarino, M., Destroying horseshoes via
heterodimensional cycles: generating bifurcations inside homoclinic classes,
Ergodic Theory and Dynamical Systems, 2009]. For the original three dimensional
system, we consider potentials with small variation, constant on local stable
manifolds, obtaining existence and uniqueness of equilibrium states.
