English

Attractor for minimal iterated function systems

Dynamical Systems 2023-03-23 v1

Abstract

In the present work, we study the attractors of iterated function systems (IFSs) on connected and compact metric spaces. We prove that the whole of the phase space of a forward minimal IFS, for which some map admits an attracting fixed point, is an attractor.

Keywords

Cite

@article{arxiv.2303.12349,
  title  = {Attractor for minimal iterated function systems},
  author = {Aliasghar Sarizadeh},
  journal= {arXiv preprint arXiv:2303.12349},
  year   = {2023}
}