On Stability of Forcing Relations for Multidimensional Perturbations of Interval Maps
نویسندگان
چکیده
In this paper, 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. Dedicated to the 60th birthday of MichaÃl Misiurewicz
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تاریخ انتشار 2009