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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 Kaplan–Yorke map ： ウィキペディア英語版 Kaplan–Yorke map The Kaplan–Yorke map is a discrete-time dynamical system. It is an example of a dynamical system that exhibits chaotic behavior. The Kaplan–Yorke map takes a point (''xn, yn '') in the plane and maps it to a new point given by :$x\_=2x\_n\backslash \; (\backslash textrm~1)\backslash ,$ :$y\_=\backslash alpha\; y\_n+\backslash cos(4\backslash pi\; x\_n)\backslash ,$ where ''mod'' is the modulo operator with real arguments. The map depends on only the one constant α. ==Calculation method== Due to roundoff error, successive applications of the modulo operator will yield zero after some ten or twenty iterations when implemented as a floating point operation on a computer. It is better to implement the following equivalent algorithm: :$a\_=2a\_n\backslash \; (\backslash textrm~b)\backslash ,$ :$x\_=a\_n/b\backslash ,$ :$y\_=\backslash alpha\; y\_n+\backslash cos(4\backslash pi\; x\_n)\backslash ,$ where the $a\_n$ and $b$ are computational integers. It is also best to choose $b$ to be a large prime number in order to get many different values of $x\_n$. 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「Kaplan–Yorke map」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.