6 problems

Let $T$ be the symplectic map considered in the paper, let $K_{p/q}$ be the approximate parametrization of a periodic orbit of rotation number $p/q$, and let the convergence proble…

Let $T$ be the symplectic map considered in the paper, and let the new parametrization method iteratively construct an approximate invariant curve using finitely many Fourier harmo…

Consider a generic four-dimensional symplectic map with resonance channels in the chaotic region. Partial barriers are structures that restrict transport across one or more resonan…

In a generic four-dimensional symplectic map, transport along a resonance channel is the motion of a trapped chaotic orbit in the direction along that channel; write this coordinat…

Consider bifurcations of families of 1D-tori in generic fully coupled systems, and the normal-form results obtained for parametrized families of quasi-periodically forced Hamiltoni…

Let a family of 1D-tori undergo a bifurcation, and consider the gaps in the families of 1D-tori arising from that bifurcation. Exponential-gap conjecture. These gaps should become…