Gingerbreadman map

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Gingerbreadman map for subset $Q^{2},[-10..10,-10..10]$ : the color of each point is related to the relative orbit period. To view the gingerbread man, you must rotate the image 135 degrees clockwise.

In dynamical systems theory, the Gingerbreadman map is a chaotic 2D map. It is given by the transformation:

${\begin{cases}x_{{n+1}}=1-y_{n}+|x_{n}|\\y_{{n+1}}=x_{n}\end{cases}}$

References

External links

Gingerbreadman map at MathWorld

v t e Chaos theory

Chaos theory	Anosov diffeomorphism Bifurcation theory Butterfly effect Chaos theory in organizational development Complexity Control of chaos Dynamical system Edge of chaos Fractal Predictability Quantum chaos Santa Fe Institute Synchronization of chaos Unintended consequences

Chaotic maps (list)	Arnold tongue Arnold's cat map Baker's map Chua's circuit Complex quadratic map Complex squaring map Coupled map lattice Double pendulum Duffing equation Duffing map Dyadic transformation Dynamical billiards outer Exponential map Gauss map Gingerbreadman map Hénon map Horseshoe map Ikeda map Interval exchange map Kaplan–Yorke map Logistic map Lorenz system Rabinovich–Fabrikant equations Rössler attractor Standard map Swinging Atwood's machine Tent map Tinkerbell map Van der Pol oscillator Zaslavskii map

Chaos systems	Bouncing ball dynamics Economic bubble Tilt-A-Whirl

Chaos theorists	Michael Berry Leon O. Chua Mitchell Feigenbaum Martin Gutzwiller Brosl Hasslacher Michel Hénon Edward Norton Lorenz Aleksandr Lyapunov Benoît Mandelbrot Henri Poincaré Otto Rössler David Ruelle Oleksandr Mykolaiovych Sharkovsky Floris Takens James A. Yorke

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Gingerbreadman map

See also

References

External links