Dynamics of commuting homeomorphisms of chainable continua
Colloquium Mathematicae (2010)
- Volume: 121, Issue: 1, page 63-77
- ISSN: 0010-1354
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topChristopher Mouron. "Dynamics of commuting homeomorphisms of chainable continua." Colloquium Mathematicae 121.1 (2010): 63-77. <http://eudml.org/doc/283719>.
@article{ChristopherMouron2010,
abstract = {
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.
},
author = {Christopher Mouron},
journal = {Colloquium Mathematicae},
keywords = {entropy; commuting maps},
language = {eng},
number = {1},
pages = {63-77},
title = {Dynamics of commuting homeomorphisms of chainable continua},
url = {http://eudml.org/doc/283719},
volume = {121},
year = {2010},
}
TY - JOUR
AU - Christopher Mouron
TI - Dynamics of commuting homeomorphisms of chainable continua
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 1
SP - 63
EP - 77
AB -
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.
LA - eng
KW - entropy; commuting maps
UR - http://eudml.org/doc/283719
ER -
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