Periodic and limit orbits and the depth of the center for piecewise monotone interval maps-Reference-Cited by-同舟云学术

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

Published:1980 Issue:3 Volume:80 Page:511-514
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Nitecki Zbigniew

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 ω \omega -limit points belong to the closure of the periodic points.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-080-03/S0002-9939-1980-0581016-9/S0002-9939-1980-0581016-9.pdf

Reference7 articles.

1. Diffeomorphisms obtained from endomorphisms;Block, Louis;Trans. Amer. Math. Soc.,1975

2. 𝑃̄=𝑅̄ for maps of the interval;Coven, Ethan M.;Proc. Amer. Math. Soc.,1980

3. Central sequences in flows on 2-manifolds of finite genus;Neumann, Dean A.;Proc. Amer. Math. Soc.,1976

4. Central sequences in dynamical systems;Neumann, Dean A.;Amer. J. Math.,1978

5. The depth of the center of 2-manifolds;Schwartz, A. J.,1970

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The centre and the depth of the centre for continuous maps on dendrites with unique branch point;Topology and its Applications;2020-08

2. Recurrent points and non-wandering points of graph maps;Journal of Mathematical Analysis and Applications;2011-11

3. Special α-limit points and unilateral γ-limit points for graph maps;Science China Mathematics;2011-06-25

4. Continuity of the mapsf↦∪x∈Iω(x,f)andf↦{ω(x,f):x∈I};International Journal of Mathematics and Mathematical Sciences;2006

5. Topological Structure of Non–wandering Set of a Graph Map;Acta Mathematica Sinica, English Series;2005-01-28