4 Iterative algorithms: chaos and fractals

An iterative process is the repeated application of a mathematical procedure where each step is applied to the output of the preceding step (Figure 4.1).

Mathematically, an iterative process is defined as a rule that describes the action that is to be repeatedly applied to an initial value *X*_{0}. The outcome of an iterative process constitutes a set, technically referred to as the *orbit* of the process; the values of this set are referred to as the *points* of the orbit. Thus, the orbit *O* that arises from ...

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