2 papers
math.DS2017
Stability of multivalued attractors
Miroslav Rypka
Stimulated by recent problems in the theory of iterated function systems, we provide a variant of the Banach converse theorem for multivalued maps. In particular, we show that attr…
math.MG2014
Chaos game for IFSs on topological spaces
Michael F. Barnsley, Krzysztof Lesniak, Miroslav Rypka
We explore the chaos game for the continuous IFSs on topological spaces. We prove that the existence of attractor allows us to use the chaos game for visualization of attractor. Th…