Chaos Lab

Discrete map · 2D · dim 2

Gingerbreadman map

A piecewise-linear area-preserving 2D map whose iterates trace out a gingerbread-man silhouette around a regular pattern of fixed points.

Iterates of the gingerbreadman map: mixed regular/chaotic phase space.

Equations

x_{n+1} = 1 − y_n + |x_n|
y_{n+1} = x_n

At a glance

Parameters(no free parameter)
Chaotic foralways (mixed regular/chaotic phase space)
HistoryDevaney's 'introduction to chaotic dynamical systems' textbook.

See also

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