论文标题
部分可观测时空混沌系统的无模型预测
A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class
论文作者
论文摘要
我们给出了$ C^1 $ - 施加技术，用于弹出先验给定有限的定期点，从而从定期点的链条复发类中保留给定有限的同性/异链链式相交。该技术首先在更简单的设置下称为Markov迭代功能系统，Markov迭代功能系统是一个二维迭代功能系统，其中组成以马尔可夫方式选择。然后，我们将结果应用于三维部分双曲线差异的设置。
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/hetero-clinic intersections from a chain recurrence class of a periodic point. The technique is first stated under a simpler setting called Markov iterated function system, a two dimensional iterated function system in which the compositions are chosen in Markovian way. Then we apply the result to the setting of three dimensional partially hyperbolic diffeomorphisms.
