Geodesic
Dynamics of commuting homeomorphisms of chainable continua
Christopher Mouron1
1 Department of Mathematics and Computer Science Rhodes College Memphis, TN 38112, U.S.A.
Colloquium Mathematicum, Tome 121 (2010) no. 1, pp. 63-77

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A chainable continuum, $X$, and homeomorphisms, $p,q:X\to X$, are constructed with the following properties: (1) $p\circ q=q\circ p$, (2) $p,q$ have simple dynamics, (3) $p\circ q$ 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.
DOI : 10.4064/cm121-1-6
Keywords: chainable continuum homeomorphisms constructed following properties circ circ have simple dynamics circ positively continuum wise fully expansive homeomorphism has positive entropy chaotic sense devaney sense yorke

Christopher Mouron 1

1 Department of Mathematics and Computer Science Rhodes College Memphis, TN 38112, U.S.A. 
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Christopher Mouron. Dynamics of commuting homeomorphisms of chainable continua. Colloquium Mathematicum, Tome 121 (2010) no. 1, pp. 63-77. doi: 10.4064/cm121-1-6

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