English

Weak Shadowing Property for IFS

Dynamical Systems 2015-06-23 v1

Abstract

In this paper we consider the shadowing property for iterated function systems,(IFS). Some important result about shadowing property are extended to iterated function systems. For example, we define topological conjugacy for IFS and prove that if F and G are two topological conjugate IFS then F has the shadowing property iff so does G. More- over, we introduce some examples and investigate the relationship between the original shadowing property and shadowing property for IFS.

Keywords

Cite

@article{arxiv.1506.06207,
  title  = {Weak Shadowing Property for IFS},
  author = {Mehdi Fatehi Nia},
  journal= {arXiv preprint arXiv:1506.06207},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1506.00201

R2 v1 2026-06-22T09:57:09.233Z