Project CEMAPRE internal
| Title | Parabolic dynamics of weak resonances in area-preserving maps II |
| Participants | José Pedro Gaivão (Principal Investigator), Vassili Gelfreich |
| Summary | In this project we study the complex dynamics in a neighbourhood of an elliptic fixed point with a weak resonance of an analytic area-preserving map. The normal form theory suggests that there is a flower which consists of points bi-asymptotic to the fixed point. Generically, the flower splits into parabolic stable and unstable manifolds. The splitting of the invariant manifolds is related to the Stokes phenomenon. |