On stability of forcing relations for multidimensional perturbations of interval maps

Ming-Chia Li*, Piotr Zgliczyński

*Corresponding author for this work

研究成果: Article同行評審

摘要

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.

原文English
頁(從 - 到)241-251
頁數11
期刊Fundamenta Mathematicae
206
發行號1
DOIs
出版狀態Published - 1 一月 2009

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