In mathematics, the Gauss map (also known as Gaussian map[1] or mouse map), is a nonlinear iterated map of the reals into a real interval given by the Gaussian function:
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.
YouTube Encyclopedic
-
1/3Views:1 471213 0907 452
-
Gauss Map Bifurcation Diagram
-
Iterative methods Jacobi and Gauss-Seidel
-
logistic map zoom
Transcription
Properties
In the parameter real space can be chaotic. The map is also called the mouse map because its bifurcation diagram resembles a mouse (see Figures).
References
- ^ Chaos and nonlinear dynamics: an introduction for scientists and engineers, by Robert C. Hilborn, 2nd Ed., Oxford, Univ. Press, New York, 2004.