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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Published:2019-07
Issue:3
Volume:52
Page:281-285
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ISSN:1063-4541
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Container-title:Vestnik St. Petersburg University, Mathematics
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language:en
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Short-container-title:Vestnik St.Petersb. Univ.Math.
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference10 articles.
1. A. N. Sharkovskii, “Co-existence of cycles of a continuous mapping of a line onto itself,” Ukr. Mat. Zh., No. 1, 61–71 (1964); Int. J. Bifurcation Chaos Appl. Appl. Sci. Eng. 5, 1263–1273 (1995).
2. B.-S. Du, “The minimal number of periodic orbits of periods guaranteed in Sharkovskii’s theorem,” Bull. Aust. Math. Soc. 31, 89–103 (1985).
3. O. A. Ivanov, “An estimate for the number of periodical trajectories of the given period for mapping of an interval, Lucas numbers, and necklaces,” Vestn. St. Petersburg Univ.: Math. 51, 367–372 (2018). https://doi.org/10.3103/S1063454118040088
4. P. Štefan, “A theorem of Šarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line,” Comm. Math. Phys. 54, 237–248 (1977).
5. S. N. Elaydi, “On a converse of Sharkovsky’s theorem,” Am. Math. Mon. 103, 386–392 (1996).