- Gauss iterated map
- List of things named after Carl Friedrich Gauss
- Gauss map (disambiguation)
- Carl Friedrich Gauss
- Differential geometry of surfaces
- Mercator projection
- Transfer operator
- Newton's method
- Dyadic transformation
- List of chaotic maps
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In mathematics, the Gauss map (also known as Gaussian map or mouse map), is a nonlinear iterated map of the reals into a real interval given by the Gaussian function:
x
n
+
1
=
exp
(
−
α
x
n
2
)
+
β
,
{\displaystyle x_{n+1}=\exp(-\alpha x_{n}^{2})+\beta ,\,}
where α and β are real parameters.
Named after Johann Carl Friedrich Gauss, the function maps the bell shaped Gaussian function similar to the logistic map.
Properties
In the parameter real space
x
n
{\displaystyle x_{n}}
can be chaotic. The map is also called the mouse map because its bifurcation diagram resembles a mouse (see Figures).
References
Kata Kunci Pencarian:
Gauss iterated map - Alchetron, The Free Social Encyclopedia
Gauss iterated map - Wikipedia
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar
Gauss iterated map | Semantic Scholar