On stability of forcing relations for multidimensional perturbations of interval maps

Ming-Chia Li, and Piotr Zgliczyński. "On stability of forcing relations for multidimensional perturbations of interval maps." Fundamenta Mathematicae 206.1 (2009): 241-251. <http://eudml.org/doc/282694>.

@article{Ming2009,
abstract = {We show that all periods of periodic points forced by a pattern for interval maps are preserved for high-dimensional maps if the multidimensional perturbation is small. We also show that if an interval map has a fixed point associated with a homoclinic-like orbit then any small multidimensional perturbation has periodic points of all periods.},
author = {Ming-Chia Li, Piotr Zgliczyński},
journal = {Fundamenta Mathematicae},
keywords = {forcing relations; multidimensional perturbation; patterns; covering relations},
language = {eng},
number = {1},
pages = {241-251},
title = {On stability of forcing relations for multidimensional perturbations of interval maps},
url = {http://eudml.org/doc/282694},
volume = {206},
year = {2009},
}

TY - JOUR
AU - Ming-Chia Li
AU - Piotr Zgliczyński
TI - On stability of forcing relations for multidimensional perturbations of interval maps
JO - Fundamenta Mathematicae
PY - 2009
VL - 206
IS - 1
SP - 241
EP - 251
AB - We show that all periods of periodic points forced by a pattern for interval maps are preserved for high-dimensional maps if the multidimensional perturbation is small. We also show that if an interval map has a fixed point associated with a homoclinic-like orbit then any small multidimensional perturbation has periodic points of all periods.
LA - eng
KW - forcing relations; multidimensional perturbation; patterns; covering relations
UR - http://eudml.org/doc/282694
ER -