Corpus ID: 119147398

Topological dynamics of the doubling map with asymmetrical holes

@article{Barrera2015TopologicalDO,
  title={Topological dynamics of the doubling map with asymmetrical holes},
  author={Rafael Alcaraz Barrera},
  journal={arXiv: Dynamical Systems},
  year={2015}
}
We study the dynamics of the attractor of the doubling map with an asymmetrical hole by associating to each hole an element of the lexicographic world. A description of the topological entropy function is given. We show that the set of parameters $(a,b)$ such that the dynamics of the mentioned attractor corresponds to a subshift of finite type is open and dense. Using the connections between this family of open dynamical systems, intermediate $\beta$-expansions and Lorenz maps we study the… Expand
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