Math definition
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The statement of the theorem
In the general context of mathematics, it's possible to define the dynamical system as a general discrete map as in the Formal definition.
A generic sequence is already per se a discrete dynamical system.
Recursion and interation of maps is another such case.
A prototype of this is the Logistic map.
- ^John Gemmer, Chapter 14, Discrete dynamical systems https://www.dam.brown.edu/people/jgemmer/GreenwellCh14.pdf
- ^John Gemmer, Chapter 14, Example 1
- ^John Gemmer, Chapter 14, Example 2 and 3
- ^John Gemmer, Chapter 14, Example 4