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In the study of dynamical systems the term Feigenbaum function has been used to describe two different functions introduced by the physicist Mitchell Feigenbaum: * the solution to the Feigenbaum-Cvitanović functional equation; and * the scaling function that described the covers of the attractor of the logistic map == Functional equation== The functional equation arises in the study of one-dimensional maps that, as a function of a parameter, go through a period-doubling cascade. The functional equation is the mathematical expression of the universality of period doubling. The equation is used to specify a function ''g'' and a parameter ''λ'' by the relation : with the initial conditions * ''g''(0) = 1, * ''g''′(0) = 0, and * ''g''′′(0) < 0 For a particular form of solution with a quadratic dependence of the solution near x=0, the inverse ''1/λ=2.5029...'' is one of the Feigenbaum constants. 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「Feigenbaum function」の詳細全文を読む スポンサード リンク
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