Periodic orbits of maps of 𝑌-Reference-Cited by-同舟云学术

Periodic orbits of maps of 𝑌

Published:1989 Issue:2 Volume:313 Page:475-538
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Alsedà Lluís,Llibre Jaume,Misiurewicz Michał

Abstract

We introduce some notions that are useful for studying the behavior of periodic orbits of maps of one-dimensional spaces. We use them to characterize the set of periods of periodic orbits for continuous maps of Y = { z ∈ C : z 3 ∈ [ 0 , 1 ] } Y = \{ z \in {\mathbf {C}}:{z^3} \in [0,1]\} into itself having zero as a fixed point. We also obtain new proofs of some known results for maps of an interval into itself.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1989-313-02/S0002-9947-1989-0958882-0/S0002-9947-1989-0958882-0.pdf

Reference40 articles.

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2. Orbites périodiques minimales des applications continues du cercle dans lui-même ayant un point fixe;Alsedà, Lluís;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1985

3. Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point;Alsedà, Lluís;Ergodic Theory Dynam. Systems,1985

4. Minimal periodic orbits for continuous maps of the interval;Alsedà, Lluís;Trans. Amer. Math. Soc.,1984

5. Generalizations of a theorem of Sarkovskii on orbits of continuous real-valued functions;Baldwin, Stewart;Discrete Math.,1987

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