Periodic and Limit Orbits and the Depth of the Center for Piecewise Monotone Interval Maps
- 1 November 1980
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 80 (3) , 511-514
- https://doi.org/10.2307/2043751
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 -limit points belong to the closure of the periodic points.Keywords
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