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Chaotic map
Gingerbreadman map for subset
Q
2
,
[
−
10..10
,
−
10..10
]
{\displaystyle 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 two-dimensional map. It is given by the piecewise linear transformation:[ 1]
{
x
n
+
1
=
1
−
y
n
+
|
x
n
|
y
n
+
1
=
x
n
{\displaystyle {\begin{cases}x_{n+1}=1-y_{n}+|x_{n}|\\y_{n+1}=x_{n}\end{cases}}}
A crude Gingerbreadman map made using the turtle library in python .
See also
References
. See in particular Fig. 3.3.
External links
Concepts
Theoretical branches Chaotic maps (list )
Physical systems Chaos theorists Related articles