The Rovella attractor is asymptotically sectional-hyperbolic*

摘要

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.