3 problems

Let $F$ be a smooth vector field on $S^3$ generating a heteroclinic knot $H$, and suppose that $Ess(F)$ with respect to $H$ is finite, possibly empty. An invariant set…

Consider Bianchi type VIII and IX models in the supercritical case $v\in(1/2,1)$, let $C$ be the Cantor set associated with infinite Bianchi type II heteroclinic chains, and let…

Consider Bianchi type VIII and IX models in the supercritical case $v\in(1/2,1)$, with time parameter satisfying $\tau_-\to\infty$. Period-two stable-set conjecture. Each heterocli…