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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 Lyapunov time ： ウィキペディア英語版 Lyapunov time In mathematics, the Lyapunov time is the characteristic timescale on which a dynamical system is chaotic. It is named after the Russian mathematician Aleksandr Lyapunov. See the extensive discussion of the Lyapunov exponent, its inverse.〔Boris P. Bezruchko, Dmitry A. Smirnov, Extracting Knowledge From Time Series: An Introduction to Nonlinear Empirical Modeling, Springer, 2010, pp. 56--57〕 ==Use== The Lyapunov time reflects the limits of the predictability of the system. By convention, it is defined as the time for the distance between nearby trajectories of the system to increase by a factor of ''e''. However, measures in terms of 2-foldings and 10-foldings are sometimes found, since they correspond to the loss of one bit of information or one digit of precision.〔 While it is used in many applications of dynamical systems theory, it has been particularly used in celestial mechanics where it is important for the stability of the Solar System question. However, empirical estimation of the Lyapunov time is often associated with computational or inherent uncertainties.〔G. Tancredi, A. Sánchez, F. ROIG. A comparison between methods to compute Lyapunov Exponents. The Astronomical Journal, 121:1171-1179, 2001 February〕〔E. Gerlach, On the Numerical Computability of Asteroidal Lyapunov Times, http://arxiv.org/abs/0901.4871〕 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「Lyapunov time」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.