Chaos game for IFSs on topological spaces
Michael F. Barnsley, Krzysztof Lesniak, Miroslav Rypka
TL;DR
This paper investigates the use of the chaos game to visualize attractors of continuous iterated function systems (IFS) on topological spaces, emphasizing the role of basins of attraction.
Contribution
It establishes that the existence of an attractor enables the application of the chaos game for visualization in topological spaces, highlighting the basin of attraction's importance.
Findings
Chaos game effectively visualizes attractors of continuous IFSs.
Existence of attractor is crucial for applying the chaos game.
Basin of attraction plays a key role in visualization process.
Abstract
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. The essential role of basin of attraction is also discussed.
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