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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 Classification of Fatou components ： ウィキペディア英語版 Classification of Fatou components In mathematics, Fatou components are components of the Fatou set. ==Rational case== If f is a rational function :$f\; =\; \backslash frac$ defined in the extended complex plane, and if it is a nonlinear function ( degree > 1 ) : $\backslash max(\backslash deg(P),\backslash ,\; \backslash deg(Q))\backslash geq\; 2,$ then for a periodic component $U$ of the Fatou set, exactly one of the following holds: # $U$ contains an attracting periodic point # $U$ is parabolic〔wikibooks : parabolic Julia sets〕 # $U$ is a Siegel disc # $U$ is a Herman ring. A Siegel disk is a simply connected Fatou component on which ''f''(''z'') is analytically conjugate to a Euclidean rotation of the unit disc onto itself by an irrational rotation angle. A Herman ring is a double connected Fatou component (an annulus) on which ''f''(''z'') is analytically conjugate to a Euclidean rotation of a round annulus, again by an irrational rotation angle. 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「Classification of Fatou components」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.