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Iteration Theory and its Functional Equations [electronic resource] : Proceedings of the International Symposium held at Schloss Hofen (Lochau), Austria Sept. 28–Oct. 1, 1984 / edited by Roman Liedl, Ludwig Reich, György Targonski.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1163Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1985Description: X, 234 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540397496
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 518 23
LOC classification:
  • QA297-299.4
Online resources:
Contents:
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.
In: Springer eBooks
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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.

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