Visualization of the Chaos Game for non-hyperbolic iterated function system

Pablo José Mavares Ferrer
The chaos game is a random algorithm generally applied to contracting (hyperbolic) iterated function system (IFS) which makes it possible to obtain the unique attractor of the dynamic system. However, when applied to non-contractive IFS extremely interesting results can be obtained that are not only important from a theoretical and application point of view, but can also be part of a mathematical didactics that seeks to modernize teaching. In this sense, this research present some results
more » ... d to the application of the chaos game to non-contracting IFS are presented.
doi:10.35290/ro.v1n2.2020.302 fatcat:wfc3km3unbf3jdbh42thfiruca