Sharkovskii's ordering and estimates of the number of periodic trajectories of given period of a self-map of an interval
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Publication:2282759
DOI10.1134/S1063454119030099zbMath1427.37030OpenAlexW2974192885MaRDI QIDQ2282759
Publication date: 19 December 2019
Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1063454119030099
Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25)
Cites Work
- A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
- An estimate for the number of periodical trajectories of the given period for mapping of an interval, Lucas numbers, and necklaces
- The minimal number of periodic orbits of periods guaranteed in Sharkovskii's theorem
- Period Three Implies Chaos
- COEXISTENCE OF CYCLES OF A CONTINUOUS MAP OF THE LINE INTO ITSELF
- On a Converse of Sharkovsky's Theorem
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