A chainable continuum, X, and homeomorphisms, p,q: X → X, are constructed with the following properties: (1) p ∘ q = q ∘ p, (2) p, q have simple dynamics, (3) p ∘ q is a positively continuum-wise fully expansive homeomorphism that has positive entropy and is chaotic in the sense of Devaney and in the sense of Li and Yorke.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-6,
author = {Christopher Mouron},
title = {Dynamics of commuting homeomorphisms of chainable continua},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {63-77},
zbl = {1244.54080},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-6}
}
Christopher Mouron. Dynamics of commuting homeomorphisms of chainable continua. Colloquium Mathematicae, Tome 120 (2010) pp. 63-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-6/