Periodic and limit orbits and the depth of the center for piecewise monotone interval maps
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- by Zbigniew Nitecki PDF
- Proc. Amer. Math. Soc. 80 (1980), 511-514 Request permission
Abstract:
For a piecewise monotone map of the interval: (a) the nonwandering points outside the closure of the periodic points are isolated in the nonwandering set; (b) the forward orbit of any such point misses all turning points; (c) the depth of the center is at most 2; and (d) all $\omega$-limit points belong to the closure of the periodic points.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 511-514
- MSC: Primary 58F22; Secondary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1980-0581016-9
- MathSciNet review: 581016