Iteration Theory and its Functional Equations

Proceedings of the International Symposium held at Schloß Hofen (Lochau), Austria, September 28 - October 1, 1984

240 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

On some properties of an absorptive area and a chaotic area for an R2-endomorphism.- A functional equation for the embedding of a homeomorphism of the interval into a flow.- On the bifurcation between a chaotic area of TK and a chaotic area of T.- On the definitions of attractors.- Functional equations connected with peculiar curves.- Iteration and analytic classification of local diffeomorphisms of ??.- On pseudo-processes and their extensions.- The pilgerschritt transform in lie algebras.- Product-integration and one-parameter subgroups of linear lie-groups.- The perturbative method for discrete processes and its physical application.- Itineraries under unimodal maps.- Cauchy functional equation on a restricted domain and commuting functions.- On a criterion of iteration in rings of formal power series.- Rotation sequences and bifurcations structure of one-dimensional endomorphisms.- Chaos almost everywhere.- Iterations and logarithms of automorphisms of complete local rings.- On a differential equation arising in iteration theory in rings of formal power series in one variable.- Long line attractors.- Properties of invariant curves near a known invariant curve.- Normal forms for systems of formal power series commuting in pairs and iteration problems.- On increasing iteration semigroups of multi-valued functions.- Plant growth as an iteration process.- Phantom iterates of continuous functions.- Competition between attractive cycle and strange attractor.- On the relation between orbits of an iteration semigroup and the orbits of the embedded mappings.- On embedding of homeomorphisms of the circle in a continuous flow.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Numerische Mathematik
• ISBN: 9783540160670
• Sprache: Englisch
• Erscheinungsdatum: 01.12.1985
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: György Targonski, Ludwig Reich, Roman Liedl