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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 Chirikov criterion ： ウィキペディア英語版 Chirikov criterion The Chirikov criterion or Chirikov resonance-overlap criterion was established by the Russian physicist Boris Chirikov. Back in 1959, he published a seminal article (Atom. Energ. 6: 630 (1959)), where he introduced the very first physical criterion for the onset of chaotic motion in deterministic Hamiltonian systems. He then applied such a criterion to explain puzzling experimental results on plasma confinement in magnetic bottles obtained by Rodionov at the Kurchatov Institute. As in an old oriental tale, Boris Chirikov opened such a bottle, and freed the genie of chaos, which spread the world over. ==Description== According to this criterion a deterministic trajectory will begin to move between two nonlinear resonances in a chaotic and unpredictable manner, in the parameter range :$$ K \approx S^2 = (\Delta \omega_r/\Delta_d)^2 > 1 . Here $K$ is the perturbation parameter, while $S\; =\; \backslash Delta\; \backslash omega\_r/\backslash Delta\_d$ is the resonance-overlap parameter, given by the ratio of the unperturbed resonance width in frequency $\backslash Delta\; \backslash omega\_r$ (often computed in the pendulum approximation and proportional to the square-root of perturbation), and the frequency difference $\backslash Delta\_d$ between two unperturbed resonances. Since its introduction, the Chirikov criterion has become an important analytical tool for the determination of the chaos border. 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「Chirikov criterion」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.