Functional rotation numbers for one-dimensional maps

Author:

Blokh A. M.

Abstract

We introduce functional rotation numbers and sets for one-dimensional maps (we call them f f -rotation numbers and sets) and deduce some of their properties (density of f {\text {f}} -rotation numbers of periodic points in the f {\text {f}} -rotation set, conditions for the connectedness of the f {\text {f}} -rotation set) from the spectral decomposition theorem for one-dimensional maps.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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