2 problems

Let $\frac{m}{p}\in\mathopen{}\mathclose\bgroup\originalleft(0,\frac{1}{2}\aftergroup\egroup\originalright)$ be a rotation number, and let $\frac{m^-}{p^-}$ and $\frac{m^+}{p^+}$ d…

Consider a piecewise-smooth map in dimension $N$, with fixed points $x^L$ and $x^R$ on the two sides of a switching boundary and an $LR$-cycle, a period-two solution consisting of…