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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 Rabinovich–Fabrikant equations ： ウィキペディア英語版 Rabinovich–Fabrikant equations The Rabinovich–Fabrikant equations are a set of three coupled ordinary differential equations exhibiting chaotic behavior for certain values of the parameters. They are named after Mikhail Rabinovich and Anatoly Fabrikant, who described them in 1979. ==System description== The equations are:〔 : $\backslash dot\; =\; y\; (z\; -\; 1\; +\; x^2)\; +\; \backslash gamma\; x\; \backslash ,$ : $\backslash dot\; =\; x\; (3z\; +\; 1\; -\; x^2)\; +\; \backslash gamma\; y\; \backslash ,$ : $\backslash dot\; =\; -2z\; (\backslash alpha\; +\; xy),\; \backslash ,$ where ''α'', ''γ'' are constants that control the evolution of the system. For some values of ''α'' and ''γ'', the system is chaotic, but for others it tends to a stable periodic orbit. Danca and Chen〔 note that the Rabinovich–Fabrikant system is difficult to analyse (due to the presence of quadratic and cubic terms) and that different attractors can be obtained for the same parameters by using different step sizes in the integration. 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「Rabinovich–Fabrikant equations」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.