Remarks on Some Types of Periodic Orbits of Interval Maps
碩士 === 輔仁大學 === 數學研究所 === 86 === For interval maps, given the existence of some specified "types" of periodic orbits, must they also have some other "types" of periodic orbits? This so-called "forcing problem" is interesting, and yet has no easy answer. In this p...
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| Format: | Others |
| Language: | en_US |
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1998
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| Online Access: | http://ndltd.ncl.edu.tw/handle/83775708203060833198 |
| Summary: | 碩士 === 輔仁大學 === 數學研究所 === 86 ===
For interval maps, given the existence of some specified "types" of periodic
orbits, must they also have some other "types" of periodic orbits? This so-called
"forcing problem" is interesting, and yet has no easy answer. In this paper, we con-
sider three different "types" of periodic orbits and obtain some forcing relations on
these periodic orbits. On the other hand, we use the method of symbolic representa-
tion to compute the number of periodic points of all periods for the linearizations of
these periodic orbits and obtain some interesting new congruence identities in number
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