Turbulent maps and their ω-limit sets

• Autorzy: F. Balibrea , C. La Paz
• Języki publikacji: EN

Abstrakty

EN

One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.

Słowa kluczowe

EN

turbulent; ω-limit; one-sided fixed point

Kategorie tematyczne

• 26A18: Iteration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 3
• Strony: 223-226

Daty

wydano

1997

otrzymano

1996-02-08

poprawiono

1996-05-30

Twórcy

autor

F. Balibrea

• Departments of Mathematics and Applied Mathematics and Statistics, University of Murcia, Murcia, Spain

autor

C. La Paz

• Departments of Mathematics and Applied Mathematics and Statistics, University of Murcia, Murcia, Spain

Bibliografia

• [1] M. J. Evans, P. D. Humke, C. M. Lee and R. J. O'Malley, Characterizations of turbulent one-dimensional mappings via ω-limit sets, Trans. Amer. Math. Soc. 326 (1991), 261-280.
• [2] A. N. Sharkovskiĭ, Coexistence of cycles of a continuous mapping of the line into itself, Ukrain. Mat. Zh. 16 (1964), 61-71 (in Russian). MR 32#4213.
• [3] L. S. Block and W. A. Coppel, Dynamics in One Dimension, Lecture Notes in Math. 1513, Springer, Berlin, 1992.