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Uniform convergence and chaotic behavior

Raghib Abu-Saris,
Published in Elsevier
2006
Volume: 65

Issue: 4
Pages: 933 - 937
Abstract

We consider a compact metric space $X$, and a sequence of continuous functions ${f}_{n}:X\to X$ that converges uniformly to a function $f$. We investigate the elements of the chaotic behavior possessed by ${f}_{n}$ that can be inherited by $f$.