On the persistence of invariant curves for Fibered Holomorphic Transformations
نویسنده
چکیده
We consider the problem of the persistence of invariant curves for analytical fibered holomorphic transformations. We define a fibered rotation number associated to an invariant curve. We show that an invariant curve with a prescribed fibered rotation number persists under small perturbations on the dynamics provided that the pair of rotation numbers verifies a Brjuno type arithmetical condition.
منابع مشابه
Local dynamics for fibered holomorphic transformations
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