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math.DS2018
Sectional-hyperbolic lyapunov stable sets
Serafin Bautista, Yeison Sánchez
In hyperbolic dynamics, a well-known result is: every hyperbolic Lyapunov stable set, is attracting; it's natural to wonder if this result is maintained in the sectional-hyperbolic…
math.DS2018★ 2 cited
Sectional connecting lemma
Serafin Bautista, Valdiane Sales, Yeison Sánchez
A hyperbolic set on a compact manifold M, satisfies the property: given two of your any points p and q, such that for all positive ε>0, there is a trajectory in the hyperbolic set…