English

A refinement of Sharkovskii's theorem on orbit types characterized by two parameters

Dynamical Systems 2007-09-11 v1

Abstract

The so-called type problem or forcing problem is considered as a way to generalize Sharkovskii's theorem. In this paper, by focusing on certain types of orbits, we obtain a solution of the type problem, which gives a refinement of Sharkovskii's theorem on orbit types characterized by two parameters.

Keywords

Cite

@article{arxiv.0709.1184,
  title  = {A refinement of Sharkovskii's theorem on orbit types characterized by two parameters},
  author = {Bau-Sen Du and Ming-Chia Li},
  journal= {arXiv preprint arXiv:0709.1184},
  year   = {2007}
}