翻訳と辞書 Words near each other ・ Period 7 element ・ Period domain ・ Period eye ・ Period mapping ・ Period of Adjustment ・ Period of Adjustment (film) ・ Period of Adjustment (M*A*S*H) ・ Period of financial distress ・ Period of mobilization for the suppression of Communist rebellion ・ Period of viability ・ Period Pains ・ Period pains ・ Period Piano Company ・ Period Piece (book) ・ Period-after-opening symbol ・ Period-doubling bifurcation ・ Periodate ・ Periodeutes ・ Periodic abstinence ・ Periodic acid ・ Periodic acid–Schiff stain ・ Periodic annual increment ・ Periodic Bedrock Ridges ・ Periodic boundary conditions ・ Periodic breathing ・ Periodic continued fraction ・ Periodic current reversal ・ Periodic deposit ・ Periodic Detention Centre (Symonston) ・ Periodic fever syndrome Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Period-doubling bifurcation ： ウィキペディア英語版 Period-doubling bifurcation In mathematics, a period doubling bifurcation in a discrete dynamical system is a bifurcation in which a slight change in a parameter value in the system's equations leads to the system switching to a new behavior with twice the period of the original system. With the doubled period, it takes twice as many iterations as before for the numerical values visited by the system to repeat themselves. A period doubling cascade is a sequence of doublings and further doublings of the repeating period, as the parameter is adjusted further and further. Period doubling bifurcations can also occur in continuous dynamical systems, namely when a new limit cycle emerges from an existing limit cycle, and the period of the new limit cycle is twice that of the old one. ==Examples== * Logistic map * Logistical map for a modified Phillips curve Consider the following logistical map for a modified Phillips curve: $\backslash pi\_\; =\; f(u\_)\; +\; a\; \backslash pi\_^e$ $\backslash pi\_\; =\; \backslash pi\_^e\; +\; c\; (\backslash pi\_\; -\; \backslash pi\_^e)$ $f(u)\; =\; \backslash beta\_\; +\; \backslash beta\_\; e^\; \backslash ,$ where : * $\backslash pi$ is the actual inflation * $\backslash pi^e$ is the expected inflation, * u is the level of unemployment, * $m\; -\; \backslash pi$ is the money supply growth rate. Keeping $\backslash beta\_\; =\; -2.5,\; \backslash \; \backslash beta\_\; =\; 20,\; \backslash \; c\; =\; 0.75$ and varying $b$, the system undergoes period doubling bifurcations, and after a point becomes chaotic, as illustrated in the bifurcation diagram on the right. * Complex quadratic map 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「Period-doubling bifurcation」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.