翻訳と辞書 Words near each other ・ Ikhav Kozak za Dunaj ・ Ikhernofret ・ Ikhernofret Stela ・ Ikhkhet ・ Ikhlas Garh ・ Ikhlas Khouli ・ Ikhlas, Pindigheb ・ Ikeda ・ Ikeda (surname) ・ Ikeda Bridge ・ Ikeda clan ・ Ikeda Jeans ・ Ikeda Katsumasa ・ Ikeda Koson ・ Ikeda lift ・ Ikeda map ・ Ikeda Mitsumasa ・ Ikeda Motosuke ・ Ikeda Nagamasa ・ Ikeda Nagaoki ・ Ikeda Sen ・ Ikeda Shigeaki ・ Ikeda Station ・ Ikeda Station (Hokkaido) ・ Ikeda Station (Osaka) ・ Ikeda Terumasa ・ Ikeda Tomomasa ・ Ikeda Tsunamasa ・ Ikeda Tsuneoki ・ Ikeda, Fukui 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 Ikeda map ： ウィキペディア英語版 Ikeda map In physics and mathematics, the Ikeda map is a discrete-time dynamical system given by the complex map :$z\_\; =\; A\; +\; B\; z\_n\; e^$ The original map was proposed first by Ikeda as a model of light going around across a nonlinear optical resonator (ring cavity containing a nonlinear dielectric medium) in a more general form. It is reduced to the above simplified "normal" form by Ikeda, Daido and Akimoto 〔K.Ikeda, Multiple-valued Stationary State and its Instability of the Transmitted Light by a Ring Cavity System, Opt. Commun. 30 257-261 (1979); K. Ikeda, H. Daido and O. Akimoto, Optical Turbulence: Chaotic Behavior of Transmitted Light from a Ring Cavity, Phys. Rev. Lett. 45, 709–712 (1980)〕 $z\_n$ stands for the electric field inside the resonator at the n-th step of rotation in the resonator, and $A$ and $C$ are parameters which indicates laser light applied from the outside, and linear phase across the resonator, respectively. In particular the parameter $B\; \backslash leq\; 1$ is called dissipation parameter characterizing the loss of resonator, and in the limit of $B=1$ the Ikeda map becomes a conservative map. The original Ikeda map is often used in another modified form in order to take the saturation effect of nonlinear dielectric medium into account: :$z\_\; =\; A\; +\; B\; z\_n\; e^$ A 2D real example of the above form is: :$x\_\; =\; 1\; +\; u\; (x\_n\; \backslash cos\; t\_n\; -\; y\_n\; \backslash sin\; t\_n),\; \backslash ,$ :$y\_\; =\; u\; (x\_n\; \backslash sin\; t\_n\; +\; y\_n\; \backslash cos\; t\_n),\; \backslash ,$ where ''u'' is a parameter and :$t\_n\; =\; 0.4\; -\; \backslash frac.$ For $u\; \backslash geq\; 0.6$, this system has a chaotic attractor. ==Attractor== This animation shows how the attractor of the system changes as the parameter $u$ is varied from 0.0 to 1.0 in steps of 0.01. The Ikeda dynamical system is simulated for 500 steps, starting from 20000 randomly placed starting points. The last 20 points of each trajectory are plotted to depict the attractor. Note the bifurcation of attractor points as $u$ is increased. 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「Ikeda 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.