Functional rotation numbers for one-dimensional maps

Blokh, A. M.

doi:10.1090/S0002-9947-1995-1270659-0

Functional rotation numbers for one-dimensional maps
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Trans. Amer. Math. Soc. 347 (1995), 499-513 Request permission

Abstract:

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

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