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dynamical systems theory Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called '' ...
, the Gingerbreadman map is a
chaotic Chaotic was originally a Danish trading card game. It expanded to an online game in America which then became a television program based on the game. The program was able to be seen on 4Kids TV (Fox affiliates, nationwide), Jetix, The CW4Kid ...
two-dimensional map. It is given by the piecewise linear transformation:. See in particular Fig. 3.3. : \begin x_ = 1 - y_n + , x_n, \\ y_ = x_n \end


See also

*
List of chaotic maps In mathematics, a chaotic map is a map (namely, an evolution function) that exhibits some sort of chaotic behavior. Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated functi ...


References


External links

* Chaotic maps Exactly solvable models {{fractal-stub