3. Chaos in iterated applications
Definition 15 Let be a continuous application (or transformation) :
its inverse f -1 being continuous (diffeomorphism). fk denotes the k-th iterate of f, i.e.: f 0 (x) = x, fk (x) = f (fk-1 (x)). The application f is called a discrete dynamical system.
Definition 16 For any x ∊ D, the orbit or trajectory of x is the set ....
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Chaos in iterated applications
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