On iterating operators and on generalized periodic orbits

2008/05/31 by Andrei Vieru, Vieru, Andrei
Mathematics · Physics and Astronomy · #37-02 #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:37-02

paper · pdf · doi:10.48550/arxiv.0806.0112

14 pages, 2 figures

openalex publication_date 2008/05/31 · arxiv created 2015/07/28 · arxiv updated 2015/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We try to define the more general form of iterative processes in which the Pomeau-Manneville and the Feigenbaum scenario may occur along with their specific scaling properties. Doing this we need to generalize other basic concepts. Thus, what we call a periodic carousel is a generalization of what is usually called a periodic orbit.

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