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Entropy of homeomorphisms on unimodal inverse limit spaces (CROSBI ID 190524)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Bruin, Henk ; Štimac, Sonja
Entropy of homeomorphisms on unimodal inverse limit spaces // Nonlinearity, 26 (2013), 991-1000. doi: 10.1088/0951-7715/26/4/991
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Bruin, Henk ; Štimac, Sonja
engleski
Entropy of homeomorphisms on unimodal inverse limit spaces
We prove that every self-homeomorphism $h : K_s \to K_s$ on the inverse limit space $K_s$ of the tent map $T_s$ with slope $s \in (\sqrt 2, 2]$ has topological entropy $\htop(h) = |R| \log s$, where $R \in \Z$ is such that $h$ and $\sigma^R$ are isotopic. Conclusions on the possible values of the entropy of homeomorphisms of the inverse limit space of a (renormalizable) quadratic map are drawn as well.
entropy; inverse limit space; tent map; logistic map
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