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Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms ''orbit'' and ''chaos'' appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.
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The main topics of this proceedings stress the interactions between the theory of functional equations and the theory of dynamical systems. A total of 38 invited lectures are included.