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Description
  • An iterative system consists of a finite number of continuous self-maps of a compact metric space. The maps are iterated in arbitrary order. An iterative system can be conceived as a dynamical system with the role of the time semigroup played by the free semigroup of finite words of an alphabet. The project focuses on clarifying dynamical properties of iterative systems. We shall investigate when these systems are minimal, transitive, chain-transitive and equicontinuous, what are their attractors and their topological entropy. We shall investigate real and complex  number systems based on  iterative systems consisting of Moebius transformations and will try to find those with fast arithmetical algorithms. (en)
  • Objasnění dynamických vlastností iterativních systémů zejména minimality, transitivity, řetězové transitivity, stejněspojitosti, struktury atraktorů a topologické entropie. Konstrukce reálných a komplexních číselných systémů založených na iterativních systémech s rychlými aritmetickými algoritmy.
Title
  • Dynamics of Iterative Systems (en)
  • Dynamika iterativních systémů
skos:notation
  • GA201/09/0854
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  • topologická dynamika; atraktory; entropie; číselné systémy (en)
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  • Řešení projektu proběhlo výtečně, jak z hlediska odborného tak i z hlediska čerpání finančních prostředků. (cs)
  • The project was excellent, both in terms of expertise and in terms of disbursement of funds. (en)
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  • atraktory
  • entropie
  • topologická dynamika
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