In this talk, we will discuss the difficulty in the study of singular
flows, and present some recent progress on the entropy theory for
Lorenz attractors in any dimension. In particular, we will show that
every sectional hyperbolic set is robustly entropy expansive, and
every Lyapunov stable sectional hyperbolic set has positive entropy.
Finally, we will show that for generic \(C^1\) flows, every
Lorenz-like class is an attractor. This is joint work with
Maria Jose Pacifico and Jiagang Yang.
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