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Gauss iterated map : ウィキペディア英語版
Gauss iterated map

In mathematics, the Gauss map (also known as Gaussian map〔Chaos and nonlinear dynamics: an introduction for scientists and engineers, by Robert C. Hilborn, 2nd Ed., Oxford, Univ. Press, New York, 2004.〕 or mouse map), is a nonlinear iterated map of the reals into a real interval given by the Gaussian function:
: x_ = \exp(-\alpha x^2_n)+\beta, \,
where ''α'' and ''β'' are real parameters.
Named after Johann Carl Friedrich Gauss, the function maps the bell shaped Gaussian function similar to the logistic map.
==Properties==
In the parameter real space x_n can be chaotic. The map is also called the ''mouse map'' because its bifurcation diagram resembles a mouse (see Figures).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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