ArticleOriginal scientific text
Title
Turbulent maps and their ω-limit sets
Authors 1, 1
Affiliations
- Departments of Mathematics and Applied Mathematics and Statistics, University of Murcia, Murcia, Spain
Abstract
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.
Keywords
turbulent, ω-limit, one-sided fixed point
Bibliography
- 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.
- 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.
- L. S. Block and W. A. Coppel, Dynamics in One Dimension, Lecture Notes in Math. 1513, Springer, Berlin, 1992.
Pages:
223-226
Main language of publication
English
Received
1996-02-08
Accepted
1996-05-30
Published
1997
Exact and natural sciences