The Rovella attractor is a compact invariant set for a vector field X 0 that mimics the construction of the geometric Lorenz attractor, but considering a central contractive singularity instead of a central expansive one. In this paper we will prove that the Rovella attractor is asymptotically sectional-hyperbolic. Furthermore, it is proved that for a generic two-parameter family of vector fields containing X 0, asymptotically sectional-hyperbolicity is an almost 2-persistent property.

中文翻译：

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Rovela 吸引子是渐近截面双曲线的

Rovella 吸引子是向量场 X 0 的紧致不变集，它模拟了几何洛伦兹吸引子的构造，但考虑了中心收缩奇点而不是中心膨胀奇点。在本文中，我们将证明 Rovela 吸引子是渐近截面双曲线的。此外，证明了对于包含 X 0 的通用双参数向量场族，渐近截面双曲性几乎是 2-持久性。