2 problems

The slow-manifold foliation conjecture. For $0<\varepsilon\ll1$, the level sets of $\phi_{{\rm i}\omega}^\varepsilon$ coincide with the leaves of the foliation of the attracting sl…

The transverse-derivative conjecture. As $\varepsilon$ becomes small, $|\partial \angle \phi_{{\rm i}\omega}^\varepsilon/\partial x|$ becomes smaller, while…