About some theorems by L. P. Šil'nikov
Periods and entropy for Lorenz-like maps
We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.
The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero
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