Generalized Lorenz-like extension to sectional-hyperbolic attracting sets

Let a sectional-hyperbolic attracting set be an attracting set with stable and center-unstable dimensions satisfying $d_s\geq 1$ and $d_{cu}\geq 2$, and replace Lorenz-like singularities by generalized Lorenz-like singularities. Sectional-hyperbolic extension conjecture. The results of Theorem~ and Corollary~ also hold for any sectional-hyperbolic attracting sets. The paper explains that finiteness of ergodic physical measures is known in broader sectional-hyperbolic settings, but this proposed extension of the stated bounds remains open.