翻訳と辞書 Words near each other ・ Peripheral neuropathy ・ Peripheral odontogenic fibroma ・ Peripheral ossifying fibroma ・ Peripheral pin controller ・ Peripheral Sensor Interface 5 ・ Peripheral stem cell transplantation ・ Periodic function ・ Periodic graph ・ Periodic graph (crystallography) ・ Periodic graph (geometry) ・ Periodic graph (graph theory) ・ Periodic inventory ・ Periodic limb movement disorder ・ Periodic matrix set ・ Periodic paralysis ・ Periodic point ・ Periodic points of complex quadratic mappings ・ Periodic poling ・ Periodic Report of the United States of America to the United Nations Committee Against Torture ・ Periodic Review Board ・ Periodic Review Secretariat ・ Periodic sentence ・ Periodic sequence ・ Periodic steady-state analysis ・ Periodic summation ・ Periodic systems of small molecules ・ Periodic table ・ Periodic table (crystal structure) ・ Periodic table (disambiguation) ・ Periodic table (electron configurations) 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 Periodic point ： ウィキペディア英語版 Periodic point In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which the system returns to after a certain number of function iterations or a certain amount of time. == Iterated functions == Given an endomorphism ''f'' on a set ''X'' :$f:\; X\; \backslash to\; X$ a point ''x'' in ''X'' is called periodic point if there exists an ''n'' so that :$\backslash \; f\_n(x)\; =\; x$ where $f\_n$ is the ''n''th iterate of ''f''. The smallest positive integer ''n'' satisfying the above is called the ''prime period'' or ''least period'' of the point ''x''. If every point in ''X'' is a periodic point with the same period ''n'', then ''f'' is called ''periodic'' with period ''n''. If there exists distinct ''n'' and ''m'' such that :$f\_n(x)\; =\; f\_m(x)$ then ''x'' is called a preperiodic point. All periodic points are preperiodic. If ''f'' is a diffeomorphism of a differentiable manifold, so that the derivative $f\_n^\backslash prime$ is defined, then one says that a periodic point is ''hyperbolic'' if :$|f\_n^\backslash prime|\backslash ne\; 1,$ that it is ''attractive'' if : and it is ''repelling'' if :$|f\_n^\backslash prime|>\; 1.$ If the dimension of the stable manifold of a periodic point or fixed point is zero, the point is called a ''source''; if the dimension of its unstable manifold is zero, it is called a ''sink''; and if both the stable and unstable manifold have nonzero dimension, it is called a ''saddle'' or saddle point. 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「Periodic point」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.