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What is Local Iterated Function Systems Explained about?

This paper systematically studies continuous local iterated function systems (local IFSs), proving that they admit compact attractors and establishing their code space under contractivity assumptions. The authors demonstrate that local IFSs can exhibit unexpected behaviors compared to classical IFSs, such as non-self-similar attractors and the existence of attractors with components outside the domains of the defining maps. Several examples are provided to illustrate the results and their implications for t

Author

hocabi9921

Language

EN