We prove that a class of partially hyperbolic attractors introduced by Castro and Nascimento have unique equilibrium states for natural classes of potentials. We also show if the attractors are $C^2$ and have invariant stable and centerunstable foliations, then there is a unique equilibrium state for the geometric potential and its 1-parameter family. We do this by applying general techniques developed by Climenhaga and Thompson.

中文翻译：

---

某些部分双曲吸引子的平衡态

我们证明了 Castro 和 Nascimento 引入的一类部分双曲线吸引子对于自然势类具有独特的平衡状态。我们还展示了如果吸引子是 $C^2$ 并且具有不变的稳定和中心不稳定的叶面，那么几何势及其 1 参数族存在独特的平衡状态。我们通过应用 Climenhaga 和 Thompson 开发的通用技术来做到这一点。