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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Orbit portrait ： ウィキペディア英語版 Orbit portrait In mathematics, an orbit portrait is a combinatorial tool used in complex dynamics for understanding the behavior of one-complex dimensional quadratic maps. In simple words one can say that it is : * a list of external angles for which rays land on points of that orbit * graph showing above list ==Definition== Given a quadratic map :$f\_c\; :\; z\; \backslash to\; z^2\; +\; c.\; \backslash ,$ from the complex plane to itself :$f\_c\; :\; \backslash mathbb\; \backslash to\; \backslash mathbb\; \backslash ,$ and a repelling or parabolic periodic orbit $=\; \backslash$ of $f\backslash ,$, so that $f(z\_j)\; =\; z\_\backslash ,$ (where subscripts are taken 1 + modulo $n$), let $A\_j$ be the set of angles whose corresponding external rays land at $z\_j\backslash ,$. Then the set $=\; ()\; =\; \backslash$ is called the orbit portrait of the periodic orbit $$. All of the sets $A\_j\backslash ,$ must have the same number of elements, which is called the valence of the portrait. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Orbit portrait」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.