bokomslag Iteration Theory and its Functional Equations
Vetenskap & teknik

Iteration Theory and its Functional Equations

Roman Liedl Ludwig Reich Gyrgy Targonski

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  • 234 sidor
  • 1985
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.

  • Författare: Roman Liedl, Ludwig Reich, Gyrgy Targonski
  • Format: Pocket/Paperback
  • ISBN: 9783540160670
  • Språk: Engelska
  • Antal sidor: 234
  • Utgivningsdatum: 1985-12-01
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K