English

Topological conjugation of one dimensional maps

Dynamical Systems 2016-03-23 v1

Abstract

Topological conjugateness of one dimensional unimodal dynamical systems, which are generated by interval [0, 1] into itself maps are studied. We study the smoothness and differentiability of the conjugacy of symmetrical and non-symmetrical tent maps. Also weprove the extremal property of the length of the graph of the conjugacy of symmetrical and non-symmetrical tent maps.

Keywords

Cite

@article{arxiv.1603.06905,
  title  = {Topological conjugation of one dimensional maps},
  author = {Makar Plakhotnyk},
  journal= {arXiv preprint arXiv:1603.06905},
  year   = {2016}
}

Comments

Draft of the book

R2 v1 2026-06-22T13:16:23.259Z