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

A. Barugola (auth.), Roman Liedl, Ludwig Reich, György Targonski (eds.)9780387160672, 0-387-16067-1

Table of contents :
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