Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor*

L.S. Efremova

ESAIM: Proceedings (2012)

  • Volume: 36, page 15-25
  • ISSN: 1270-900X

Abstract

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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.

How to cite

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Efremova, L.S.. Fournier-Prunaret, D., Gardini, L., and Reich, L., eds. " Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor*." ESAIM: Proceedings 36 (2012): 15-25. <http://eudml.org/doc/251286>.

@article{Efremova2012,
abstract = {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.},
author = {Efremova, L.S.},
editor = {Fournier-Prunaret, D., Gardini, L., Reich, L.},
journal = {ESAIM: Proceedings},
keywords = {skew product; attractor; ramified continuum},
language = {eng},
month = {8},
pages = {15-25},
publisher = {EDP Sciences},
title = { Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor*},
url = {http://eudml.org/doc/251286},
volume = {36},
year = {2012},
}

TY - JOUR
AU - Efremova, L.S.
AU - Fournier-Prunaret, D.
AU - Gardini, L.
AU - Reich, L.
TI - Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor*
JO - ESAIM: Proceedings
DA - 2012/8//
PB - EDP Sciences
VL - 36
SP - 15
EP - 25
AB - 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.
LA - eng
KW - skew product; attractor; ramified continuum
UR - http://eudml.org/doc/251286
ER -

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