Iteration Theory and its Functional Equations: Proceedings of the International Symposium held at Schloss Hofen (Lochau), Austria Sept. 28–Oct. 1, 1984

On some properties of an absorptive area and a chaotic area for an R 2 -endomorphism....Pages 1-6
A functional equation for the embedding of a homeomorphism of the interval into a flow....Pages 7-13
On the bifurcation between a chaotic area of T K and a chaotic area of T....Pages 14-22
On the definitions of attractors....Pages 23-31
Functional equations connected with peculiar curves....Pages 33-40
Iteration and analytic classification of local diffeomorphisms of ℂ ν ....Pages 41-48
On pseudo-processes and their extensions....Pages 49-58
The pilgerschritt transform in lie algebras....Pages 59-71
Product-integration and one-parameter subgroups of linear lie-groups....Pages 72-82
The perturbative method for discrete processes and its physical application....Pages 83-94
Itineraries under unimodal maps....Pages 95-100
Cauchy functional equation on a restricted domain and commuting functions....Pages 101-106
On a criterion of iteration in rings of formal power series....Pages 107-114
Rotation sequences and bifurcations structure of one-dimensional endomorphisms....Pages 115-124
Chaos almost everywhere....Pages 125-130
Iterations and logarithms of automorphisms of complete local rings....Pages 131-134
On a differential equation arising in iteration theory in rings of formal power series in one variable....Pages 135-148
Long line attractors....Pages 149-160
Properties of invariant curves near a known invariant curve....Pages 161-169
Normal forms for systems of formal power series commuting in pairs and iteration problems....Pages 170-176
On increasing iteration semigroups of multi-valued functions....Pages 177-182
Plant growth as an iteration process....Pages 183-195
Phantom iterates of continuous functions....Pages 196-202
Competition between attractive cycle and strange attractor....Pages 203-208
On the relation between orbits of an iteration semigroup and the orbits of the embedded mappings....Pages 209-217
On embedding of homeomorphisms of the circle in a continuous flow....Pages 218-231