2 problems

Let $a$ be the parameter in the border-collision normal form, and consider the saddle chaotic set associated with the period-five heteroclinic cycle at $a\approx 0.9592$. Its unsta…

Berger's conjecture. There exists a $C^r$-neighborhood $\mathcal{U}$ of $\mathcal{F}$ and an infinite-codimensional subset $\mathcal{N}\subset\mathcal{U}$ such that, for every…