紀文鎮王怡文Wang, Yi-Wun2019-09-052011-1-232019-09-052011http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0697400035%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101793在本碩士論文中，我們會先介紹一些nonarchimedean metrics和一些和其相關的性質， 接著在dynamical system 中我們去計算一些函數的periodic points和一些函數的Julia sets，最後利用已知的定理”Julia set 會包含在periodic point 的closure內”，我們實際討論一些例子的Julia sets 和其 repelling periodic points 的closure，並說明其相等。we introduce a theorem about the closure of the periodic points over a nonarchimedean field from the paper of L.C. Hsia. It tells us that the relationship between the Julia set and the cloure of period points. We will see some examples in section 3.動態系統朱利葉集非阿基米德體dynamical systemJulia setnonarchimedean field