# Turbulent maps and their ω-limit sets

Annales Polonici Mathematici (1997)

- Volume: 65, Issue: 3, page 223-226
- ISSN: 0066-2216

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topF. Balibrea, and C. La Paz. "Turbulent maps and their ω-limit sets." Annales Polonici Mathematici 65.3 (1997): 223-226. <http://eudml.org/doc/269988>.

@article{F1997,

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.},

author = {F. Balibrea, C. La Paz},

journal = {Annales Polonici Mathematici},

keywords = {turbulent; ω-limit; one-sided fixed point; turbulent maps; -limit sets},

language = {eng},

number = {3},

pages = {223-226},

title = {Turbulent maps and their ω-limit sets},

url = {http://eudml.org/doc/269988},

volume = {65},

year = {1997},

}

TY - JOUR

AU - F. Balibrea

AU - C. La Paz

TI - Turbulent maps and their ω-limit sets

JO - Annales Polonici Mathematici

PY - 1997

VL - 65

IS - 3

SP - 223

EP - 226

AB - 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.

LA - eng

KW - turbulent; ω-limit; one-sided fixed point; turbulent maps; -limit sets

UR - http://eudml.org/doc/269988

ER -

## References

top- [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.

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