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Periodic and limit orbits and the depth of the center for piecewise monotone interval maps


Author: Zbigniew Nitecki
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
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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 [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0581016-9
Article copyright: © Copyright 1980 American Mathematical Society

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