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Bogdanov map : ウィキペディア英語版
Bogdanov map
In dynamical systems theory, the Bogdanov map is a chaotic 2D map related to the Bogdanov–Takens bifurcation. It is given by the transformation:
:
\begin
x_ = x_n + y_\\
y_ = y_n + \epsilon y_n + k x_n (x_n - 1) + \mu x_n y_n
\end

The Bogdanov map is named after Rifkat Bogdanov.
==See also==
* List of chaotic maps
==References==

* Arrowsmith, D. K.; Cartwright, J. H. E.; Lansbury, A. N.; and Place, C. M. "The Bogdanov Map: Bifurcations, Mode Locking, and Chaos in a Dissipative System." Int. J. Bifurcation Chaos 3, 803–842, 1993.
* Bogdanov, R. "Bifurcations of a Limit Cycle for a Family of Vector Fields on the Plane." Selecta Math. Soviet 1, 373–388, 1981.

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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