On a converse of Sharkovsky's theorem

American Mathematical Monthly

Volumn 103, Issue 5, 1996, Pages 386-392

  Elaydi, Saber ^a  

^a TRINITY UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039769009     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2974928     Document Type: Article

References (6)

1. Delahaye, J. P., Fonctions admittant des Cycles d'ordre n'importe quelle puissance de 2 et aucun autre cycle, C.R. Acad. ScI. Paris, Sér. A-B, 291 (1980) A 323-325.
2. Devaney, R., An introduction to chaotic dynamical systems, Second Edition, Addison-Wesley, Menlo Park, California, 1989.
3. Elaydi, S., Chaotic dynamical systems with fractals, Preprint.
4. Gulick, D., Encounters with chaos, McGraw-Hill, New York, 1992.
5. Sharkovsky, A. N. Co-existence of Cycles of a continuous mapping of a line into itself. Ukranian Math. Z. 16 (1964), 61-71.
6. Štefan, P., A Theorem of Sharkovsky on the existence of periodic orbits of continuous endomor-phisms of the real line, Comm. Math. Phys. 54 (1977), 237-248.