Functional rotation numbers for one-dimensional maps
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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.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 499-513
- MSC: Primary 58F03
- DOI: https://doi.org/10.1090/S0002-9947-1995-1270659-0
- MathSciNet review: 1270659