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2019Feigenbaum maps·Bulletin of the Institute of Mathematics, No. 6

Periodic points of the unstable Feigenbaum separatrix

Akhtam Dzhalilov

Abstract

We investigate the periodic points lying on the unstable separatrix of the Feigenbaum fixed point and describe their stability under smooth perturbations of the underlying map.

Authors: A. A. Dzhalilov, S. Kh. Abduhakimov

Keywords

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@article{periodic_points_of_the_unstable_feigenbaum_separatrix,
  author    = {Akhtam Dzhalilov},
  title     = {Periodic points of the unstable Feigenbaum separatrix},
  journal   = {Bulletin of the Institute of Mathematics, No. 6},
  year      = {2019},
  pages     = {13—16},
}