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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 Lorenz system ： ウィキペディア英語版 Lorenz system The Lorenz system is a system of ordinary differential equations (the Lorenz equations, note it is not Lorentz) first studied by Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight. ==Overview== In 1963, Edward Lorenz developed a simplified mathematical model for atmospheric convection. The model is a system of three ordinary differential equations now known as the Lorenz equations: : $\backslash begin$ \frac &= \sigma (y - x), \\ \frac &= x (\rho - z) - y, \\ \frac &= x y - \beta z. \end Here $x$, $y$, and $z$ make up the system state, $t$ is time, and $\backslash sigma$, $\backslash rho$, $\backslash beta$ are the system parameters. The Lorenz equations also arise in simplified models for lasers, dynamos, thermosyphons, brushless DC motors, electric circuits, chemical reactions and forward osmosis. From a technical standpoint, the Lorenz system is nonlinear, three-dimensional and deterministic. The Lorenz equations have been the subject of hundreds of research articles, and at least one book-length study. 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「Lorenz system」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.