关于纤维全纯变换不变曲线的持久性
On the persistence of invariant curves for Fibered Holomorphic Transformations
摘要：
研究解析纤维全纯变换的不变曲线的持久性问题。我们定义了一个与不变曲线相关联的纤维旋转数。我们表明，一个不变的曲线与规定的纤维旋转数持续小扰动下的动力学的旋转数对验证了Brjuno型算术条件。
英文摘要：
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.
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