Exponential map (discrete dynamical systems)
The family of exponential functions is called the exponential family.
There are many forms of these maps, many of which are equivalent under a coordinate transformation. For example two of the most common ones are:
The second one can be mapped to the first using the fact that , so is the same under the transformation . The only difference is that, due to multi-valued properties of exponentiation, there may be a few select cases that can only be found in one version. Similar arguments can be made for many other formulas.
- Dynamics of exponential maps by Lasse Rempe
- Lasse Rempe, Dierk Schleicher : Bifurcation Loci of Exponential Maps and Quadratic Polynomials: Local Connectivity, Triviality of Fibers, and Density of Hyperbolicity
|Wikimedia Commons has media related to Exponential maps.|
|Wikibooks has a book on the topic of: Fractals/exponential|
|This geometry-related article is a stub. You can help Wikipedia by expanding it.|