Geometry of complex instability and escape in four-dimensional symplectic maps
Geometry of complex instability and escape in four-dimensional symplectic maps
In four-dimensional symplectic maps complex instability of periodic orbits is possible, which cannot occur in the two-dimensional case. We investigate the transition from stable to complex unstable dynamics of a fixed point under parameter variation. The change in the geometry of regular structures is visualized using 3D phase-space slices and …