We give a $C^1$ -perturbation technique for ejecting an a priori given finite set of periodic points preserving a given finite set of homo/heteroclinic intersections from a chain recurrence class of a periodic point. The technique is first stated under a simpler setting called a Markov iterated function system, a two-dimensional iterated function system in which the compositions are chosen in a Markovian way. Then we apply the result to the setting of three-dimensional partially hyperbolic diffeomorphisms.

中文翻译：

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一种从部分双曲链递归类中弹出马蹄铁的机制

我们给一个 $C^1$ - 弹射扰动技术先验给定的周期点的有限集保留来自周期点的链递归类的给定的同交/异交交的有限集。该技术首先在称为马尔可夫迭代函数系统的更简单的设置下进行阐述，这是一种二维迭代函数系统，其中以马尔可夫方式选择组合。然后我们将结果应用到三维部分双曲微分同胚的设置中。