3 problems

The Hénon map is … with $a=1.4$ and $b=0.3$, and it has a strange attractor with a fractal structure. Its lack of uniform hyperbolicity, including tangencies between stable and uns…

Let $f_a$ be the Hénon map at parameter $a=5.4$, and let $T_{\mathrm{DMS}}$ be the transition matrix whose associated subshift has topological entropy $h(T_{\mathrm{DMS}})=0.6774$.…

Let $f_a$ denote the Hénon map with parameter $a$, and consider the three values $a=5.4$, $5.59$, and $5.65$. Davis–MacKay–Sannami conjecture. The Hénon map is hyperbolic for each…