Bifurcations of families of 1D-tori in 4D symplectic maps
Bifurcations of families of 1D-tori in 4D symplectic maps
The regular structures of a generic 4D symplectic map with a mixed phase space are organized by one-parameter families of elliptic 1D-tori. Such families show prominent bends, gaps, and new branches. We explain these features in terms of bifurcations of the families when crossing a resonance. For these bifurcations no …