Search for invariant sets of the generalized tent map

@article{Ayers2022SearchFI,
  title={Search for invariant sets of the generalized tent map},
  author={Kimberly Ayers and Dmitriy Dmitrishin and Ami Radunskaya and Alexander M. Stokolos and Kostyantyn Stokolos},
  journal={Journal of Difference Equations and Applications},
  year={2022}
}
This paper describes a predictive control method to search for unstable periodic orbits of the generalized tent map. The invariant set containing periodic orbits is a repelling set with a complicated Cantor-like structure. Therefore, a simple local stabilization of the orbit may not be enough to find a periodic orbit, due to the small measure of the basin of attraction. It is shown that for certain values of the control parameter, both the local behavior and the global behavior of solutions… 

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