Article | REF: AF1405 V1

Catastrophes and chaos in dynamic systems

Author: Claudine DANG VU-DELCARTE

Publication date: October 10, 2010

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3. Chaos in iterated applications

Definition 15 Let be a continuous application (or transformation) :

xf(x),xn( 63 )

its inverse f -1 being continuous (diffeomorphism). f k denotes the k-th iterate of f, i.e.: f 0 (x) = x, f k (x) = f (f k -1 (x)). The application f is called...

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Chaos in iterated applications