Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor
ESAIM. Proceedings, Tome 36 (2012), pp. 15-25
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The example is constructed of the C1-smooth skew product of interval maps possessing the one-dimensional ramified continuum (containing no arcs homeomorphic to the circle) with an infinite set of ramification points as the global attractor.
L.S. Efremova. Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor. ESAIM. Proceedings, Tome 36 (2012), pp. 15-25. doi: 10.1051/proc/201236002
@article{EP_2012_36_a2,
author = {L.S. Efremova},
title = {Example of the {Smooth} {Skew} {Product} in the {Plane} with the {One-dimensional} {Ramified} {Continuum} as the {Global} {Attractor}},
journal = {ESAIM. Proceedings},
pages = {15--25},
year = {2012},
volume = {36},
doi = {10.1051/proc/201236002},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201236002/}
}
TY - JOUR AU - L.S. Efremova TI - Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor JO - ESAIM. Proceedings PY - 2012 SP - 15 EP - 25 VL - 36 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201236002/ DO - 10.1051/proc/201236002 LA - en ID - EP_2012_36_a2 ER -
%0 Journal Article %A L.S. Efremova %T Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor %J ESAIM. Proceedings %D 2012 %P 15-25 %V 36 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201236002/ %R 10.1051/proc/201236002 %G en %F EP_2012_36_a2
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