English

Indices of fixed points not accumulated by periodic points

Dynamical Systems 2016-05-30 v1

Abstract

We prove that for every integer sequence II satisfying Dold relations there exists a map f:RdRdf : \mathbb{R}^d \to \mathbb{R}^d, d2d \ge 2, such that Per(f)=Fix(f)={o}\mathrm{Per(f)} = \mathrm{Fix(f)} = \{o\}, where oo denotes the origin, and (i(fn,o))n=I(i(f^n, o))_n = I.

Keywords

Cite

@article{arxiv.1605.08718,
  title  = {Indices of fixed points not accumulated by periodic points},
  author = {Luis Hernandez-Corbato},
  journal= {arXiv preprint arXiv:1605.08718},
  year   = {2016}
}

Comments

11 pages, 2 figures. Final version to appear in Topol. Methods Nonlinear Anal