artículo
On the persistence of invariant curves for smooth fibred holomorphic dynamics
Fecha
2010Registro en:
10.24033/bsmf.2587
0037-9484
WOS:000280206600001
Autor
Ponce, Mario
Institución
Resumen
On the persistence of invariant curves for smooth fibred holomorphic dynamics We establish the persistence of an invariant curve for a smooth fibered holomorphic dynamical system, provided that a diophantine condition for the pair of rotation numbers holds. We also show that this diophantine condition is optimal. Our proof relies on Hamilton's implicit function Theorem.