A CLASS OF MOBIUS ITERATED FUNCTION SYSTEMS

Cakmak G., Deniz A., Kocak S.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol.35, no.3, pp.927-933, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.4134/ckms.c180482
  • Journal Name: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.927-933
  • Keywords: Iterated function system, Mobius iterated function system, Mobius transformation, attractors
  • Anadolu University Affiliated: Yes

Abstract

We characterize Mobius functions mapping the unit disc of the complex plane contractively into itself. We then give a procedure to produce Mobius iterated function systems on the unit disc.