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Duffing map
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Duffing map : ウィキペディア英語版
Duffing map

The Duffing map (also called as 'Holmes map') is a discrete-time dynamical system. It is an example of a dynamical system that exhibits chaotic behavior. The Duffing map takes a point (''xn'', ''yn'') in the plane and maps it to a new point given by
:x_=y_n\,
:y_=-bx_n+ay_n-y_n^3.\,
The map depends on the two constants ''a'' and ''b''. These are usually set to ''a'' = 2.75 and ''b'' = 0.2 to produce chaotic behaviour. It is a discrete version of the Duffing equation.
==References==


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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