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.
@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
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
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