Periods of Periodic Points of Maps of the Circle Which Have a Fixed Point
نویسنده
چکیده
For a continuous map / of the circle to itself, let P(f) denote the set of positive integers n such that / has a periodic point of (least) period n. Results are obtained which specify those sets, which occur as P(f), for some continuous map/ of the circle to itself having a fixed point. These results extend a theorem of Sarkovskii on maps of the interval to maps of the circle which have a fixed point.
منابع مشابه
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تاریخ انتشار 2010