On stability of forcing relations for multidimensional perturbations of interval maps
Tom 206 / 2009
Fundamenta Mathematicae 206 (2009), 241-251
MSC: 37E15, 37C25, 37B30.
DOI: 10.4064/fm206-0-13
Streszczenie
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.
