English

Algorithms generating images of attractors of generalized iterated function systems

Dynamical Systems 2016-01-14 v1

Abstract

The paper is devoted to searching algorithms which will allow to generate images of attractors of \emph{generalized iterated function systems} (GIFS in short), which are certain generalization of classical iterated function systems, defined by Mihail and Miculescu in 2008, and then intensively investigated in the last years (the idea is that instead of selfmaps of a metric space XX, we consider mappings form the Cartesian product X×...×XX\times...\times X to XX). Two presented algorithms are counterparts of classical \emph{deterministic algorithm} and so-called \emph{chaos game}. The third and fourth one one is fitted to special kind of GIFSs - to \emph{affine} GIFS, which are, in turn, also investigated.

Keywords

Cite

@article{arxiv.1601.03200,
  title  = {Algorithms generating images of attractors of generalized iterated function systems},
  author = {Partycja Jaros and Łukasz Maślanka and Filip Strobin},
  journal= {arXiv preprint arXiv:1601.03200},
  year   = {2016}
}

Comments

22 pages, 6 figures

R2 v1 2026-06-22T12:28:31.798Z