Iteration Theory and its Functional Equations

Iteration Theory and its Functional Equations Proceedings of the International Symposium held at Schloss Hofen (Lochau), Austria Sept. 28–Oct. 1, 1984 / [electronic resource] : edited by Roman Liedl, Ludwig Reich, György Targonski. - X, 234 p. online resource. - Lecture Notes in Mathematics, 1163 0075-8434 ; . - Lecture Notes in Mathematics, 1163 .

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.

9783540397496

10.1007/BFb0076410 doi


Numerical analysis.
Numerical Analysis.

QA297-299.4

518
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